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Finding the Third Proportional to 636,624 and 1,381,744

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Solution

The third proportional to 636,624 and 1,381,744 is: 2,998,970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,624 : 1,381,744 = 1,381,744 : x
  2. Step 2: Convert to fraction form
    636,624/1,381,744 = 1,381,744/x
  3. Step 3: Cross multiply
    636,624x = 1,381,744 × 1,381,744
  4. Step 4: Simplify right side
    636,624x = 1,909,216,481,536
  5. Step 5: Solve for x
    x = 1,909,216,481,536/636,624
  6. Step 6: Final answer
    x = 2,998,970.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.