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Finding the Third Proportional to 738,332 and 1,156,712

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Solution

The third proportional to 738,332 and 1,156,712 is: 1,812,169.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,332 : 1,156,712 = 1,156,712 : x
  2. Step 2: Convert to fraction form
    738,332/1,156,712 = 1,156,712/x
  3. Step 3: Cross multiply
    738,332x = 1,156,712 × 1,156,712
  4. Step 4: Simplify right side
    738,332x = 1,337,982,650,944
  5. Step 5: Solve for x
    x = 1,337,982,650,944/738,332
  6. Step 6: Final answer
    x = 1,812,169.39

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.