On Tuesday, Alaska election officials said Begich had a larger lead than the number of votes still left to be counted:
Begich's win gives Democrats control of 56 seats in the Senate. Even with the two independents who caucus with them, the Democrats remain two shy of the 60 seats needed to end filibusters.
There are still two senate races that remain undecided.
In Georgia, Republican Senator Saxby Chambliss faces former state representative Democrat Jim Martin in a runoff on December 2. In Minnesota, the recount began yesterday in the race between Republican Senator Norm Coleman and Democrat Al Franken.
Watch the following video report from MSNBC's David Shuster and Lawrence O'Donnell: