Dominica is about 1,972 times smaller than Alaska.

Alaska is approximately 1,481,348 sq km, while Dominica is approximately 751 sq km, making Dominica 0.05% the size of Alaska. Meanwhile, the population of Alaska is ~710,231 people (635,602 fewer people live in Dominica).
Tip: This to-scale comparison of Alaska vs. Dominica uses the Mercator projection, which distorts the size of regions near the poles.