The scale of the map is 1: 1,000,000. What is the distance between cities and (in km) if it is 2 cm on the map?

The scale is the ratio of the dimensions of the object in the drawing to its true dimensions, which is designated as M 1: 10; M 1: 100; M 1: 100,000, etc.

1) Let the distance between cities be x. Then we will make the following proportion:

2: x = 1: 1,000,000;

By the property of proportion:

x = 2 * 1,000,000 = 2,000,000 (cm);

2) Let’s express centimeters in kilometers:

2,000,000 cm = 20,000 m = 20 km;

Consequently, the distance between cities is 20 km.

Answer: 20 km.