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Finding the Third Proportional to 724,564 and 1,592,552

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Solution

The third proportional to 724,564 and 1,592,552 is: 3,500,342.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,564 : 1,592,552 = 1,592,552 : x
  2. Step 2: Convert to fraction form
    724,564/1,592,552 = 1,592,552/x
  3. Step 3: Cross multiply
    724,564x = 1,592,552 × 1,592,552
  4. Step 4: Simplify right side
    724,564x = 2,536,221,872,704
  5. Step 5: Solve for x
    x = 2,536,221,872,704/724,564
  6. Step 6: Final answer
    x = 3,500,342.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.