The 26-year-old from the NSW Central Coast performed well on the difficult course to advance through each round of the event to reach the final dual for first place against 2018 Olympic Champion Mikael Kingsbury of Canada.
In a very close head to head race, Graham pushed Kingsbury all the way, but had trouble landing his bottom jump and stumbled over the finish line to give Kingsbury the victory.
For Graham, the podium performance is the second World Championship medal of his career, having taken home silver at Deer Valley, USA, in 2019.
Rounding out the podium in third place was Ikuma Horishima of Japan.
“It felt great to get some redemption after yesterday's performance. I was very disappointed with my performance in the single mogul event, so I used that as a bit of motivation for duals” said Graham the 2018 Olympic silver medallist.
“The course was very challenging today. The moguls were quite firm and big, so it was easy to make mistakes, especially when you are pushing the speed to the limit. I didn't ski as well as I should have or can, but I knew my opponent was likely to be making mistakes as well, so I just had to grit my teeth through each round and make it to the finish line.”
The mogul skiers will remain in Almaty for the World Cup final which will take place on March 14.
Graham will be aiming to become the first Australian male to win the World Cup Crystal Globe title since the legendary Dale Begg-Smith in 2010.
“I will approach the World Cup Finals as I do every event. I am currently leading the standings for the overall title and Crystal Globe, but the point are very tight in the top four and anyone can win.”
Graham sits in first place on the standings with 289 points, followed by Frenchman Benjamin Cavet on 271 points, Ludavig Fjallstrom of Sweden with 258 points and Ikuma Horishima of Japan on 246 points.