Which is bigger, Alaska or Mexico?

Excuse me, I'm a bit confused here. I'm trying to understand the comparison between two very different geographical entities. Are we comparing the size of Alaska, the largest state in the United States, with Mexico, an entire country south of the US border? If so, I'd like to clarify that Mexico is significantly larger in terms of both land area and population. Alaska, while vast and beautiful, pales in comparison to the size of Mexico. So, the question of which is bigger between Alaska and Mexico is quite straightforward: Mexico is the larger of the two. Am I on the right track here?