Louisiana is about 1.7 times smaller than South Dakota.

South Dakota is approximately 196,540 sq km, while Louisiana is approximately 112,825 sq km, making Louisiana 57.41% the size of South Dakota. Meanwhile, the population of South Dakota is ~814,180 people (3.7 million more people live in Louisiana).
This to-scale comparison of South Dakota vs. Louisiana uses the Mercator projection, which distorts the size of regions near the poles. Learn more.

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