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Finding the Third Proportional to 726,737 and 1,115,529

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Solution

The third proportional to 726,737 and 1,115,529 is: 1,712,318.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,737 : 1,115,529 = 1,115,529 : x
  2. Step 2: Convert to fraction form
    726,737/1,115,529 = 1,115,529/x
  3. Step 3: Cross multiply
    726,737x = 1,115,529 × 1,115,529
  4. Step 4: Simplify right side
    726,737x = 1,244,404,949,841
  5. Step 5: Solve for x
    x = 1,244,404,949,841/726,737
  6. Step 6: Final answer
    x = 1,712,318.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.