Determine the distance on the map if it is 13 km on the ground. Map scale 1: 1,000,000.

1. Since the scale of the maps is given in centimeters, we will translate 13 km into centimeters.
1 km contains 1000 m, then:
1 km = 1000 m;
13 km = x.
By proportion:
x = (13 * 1000) / 1 = 13000 (m) – contained in 13 km.
1 m contains 100 cm, then:
1 m = 100 cm;
13000 m = x.
By proportion:
x = (13000 * 100) / 1 = 1300000 (cm) – contained in 13 km.
2. By condition, the scale of the map is 1: 1000000. Let’s make the proportion:
1 cm = 1,000,000 cm;
x = 1300000 cm.
Find x:
x = (1,300,000 * 1) / 1,000,000 = 1,300,000 / 1,000,000 = 13/10 = 1.3 (cm).
Answer: 1.3 cm on the map corresponds to 13 km on the ground.