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Finding the Third Proportional to 625,866 and 941,716

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Solution

The third proportional to 625,866 and 941,716 is: 1,416,963.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,866 : 941,716 = 941,716 : x
  2. Step 2: Convert to fraction form
    625,866/941,716 = 941,716/x
  3. Step 3: Cross multiply
    625,866x = 941,716 × 941,716
  4. Step 4: Simplify right side
    625,866x = 886,829,024,656
  5. Step 5: Solve for x
    x = 886,829,024,656/625,866
  6. Step 6: Final answer
    x = 1,416,963.10

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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.