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Finding the Third Proportional to 986,512 and 1,477,064

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Solution

The third proportional to 986,512 and 1,477,064 is: 2,211,547.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,512 : 1,477,064 = 1,477,064 : x
  2. Step 2: Convert to fraction form
    986,512/1,477,064 = 1,477,064/x
  3. Step 3: Cross multiply
    986,512x = 1,477,064 × 1,477,064
  4. Step 4: Simplify right side
    986,512x = 2,181,718,060,096
  5. Step 5: Solve for x
    x = 2,181,718,060,096/986,512
  6. Step 6: Final answer
    x = 2,211,547.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.