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Finding the Third Proportional to 687,910 and 1,030,217

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Solution

The third proportional to 687,910 and 1,030,217 is: 1,542,857.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,910 : 1,030,217 = 1,030,217 : x
  2. Step 2: Convert to fraction form
    687,910/1,030,217 = 1,030,217/x
  3. Step 3: Cross multiply
    687,910x = 1,030,217 × 1,030,217
  4. Step 4: Simplify right side
    687,910x = 1,061,347,067,089
  5. Step 5: Solve for x
    x = 1,061,347,067,089/687,910
  6. Step 6: Final answer
    x = 1,542,857.45

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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.