Holy See (Vatican City) is about 3,366,700 times smaller than Alaska.

Alaska is approximately 1,481,348 sq km, while Holy See (Vatican City) is approximately 0 sq km, making Holy See (Vatican City) 0.0% the size of Alaska. Meanwhile, the population of Alaska is ~710,231 people (709,231 fewer people live in Holy See (Vatican City)).
Tip: This to-scale comparison of Alaska vs. Holy See (Vatican City) uses the Mercator projection, which distorts the size of regions near the poles.