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Finding the Third Proportional to 726,732 and 1,115,523

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Solution

The third proportional to 726,732 and 1,115,523 is: 1,712,311.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,732 : 1,115,523 = 1,115,523 : x
  2. Step 2: Convert to fraction form
    726,732/1,115,523 = 1,115,523/x
  3. Step 3: Cross multiply
    726,732x = 1,115,523 × 1,115,523
  4. Step 4: Simplify right side
    726,732x = 1,244,391,563,529
  5. Step 5: Solve for x
    x = 1,244,391,563,529/726,732
  6. Step 6: Final answer
    x = 1,712,311.50

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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.