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Finding the Third Proportional to 687,538.13 and 1,062,711.14

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Solution

The third proportional to 687,538.13 and 1,062,711.14 is: 1,642,607.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,538.13 : 1,062,711.14 = 1,062,711.14 : x
  2. Step 2: Convert to fraction form
    687,538.13/1,062,711.14 = 1,062,711.14/x
  3. Step 3: Cross multiply
    687,538.13x = 1,062,711.14 × 1,062,711.14
  4. Step 4: Simplify right side
    687,538.13x = 1,129,354,968,408.49
  5. Step 5: Solve for x
    x = 1,129,354,968,408.49/687,538.13
  6. Step 6: Final answer
    x = 1,642,607.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.