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Finding the Third Proportional to 608,684 and 914,866

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Solution

The third proportional to 608,684 and 914,866 is: 1,375,064.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,684 : 914,866 = 914,866 : x
  2. Step 2: Convert to fraction form
    608,684/914,866 = 914,866/x
  3. Step 3: Cross multiply
    608,684x = 914,866 × 914,866
  4. Step 4: Simplify right side
    608,684x = 836,979,797,956
  5. Step 5: Solve for x
    x = 836,979,797,956/608,684
  6. Step 6: Final answer
    x = 1,375,064.56

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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.