Ohio is about 1.9 times smaller than Minnesota.

Minnesota is approximately 206,189 sq km, while Ohio is approximately 106,056 sq km, making Ohio 51.44% the size of Minnesota. Meanwhile, the population of Minnesota is ~5.3 million people (6.2 million more people live in Ohio).
This to-scale comparison of Minnesota vs. Ohio uses the Mercator projection, which distorts the size of regions near the poles. Learn more.

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