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Finding the Third Proportional to 413,819.44 and 924,517.13

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Solution

The third proportional to 413,819.44 and 924,517.13 is: 2,065,470.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,819.44 : 924,517.13 = 924,517.13 : x
  2. Step 2: Convert to fraction form
    413,819.44/924,517.13 = 924,517.13/x
  3. Step 3: Cross multiply
    413,819.44x = 924,517.13 × 924,517.13
  4. Step 4: Simplify right side
    413,819.44x = 854,731,914,418.27
  5. Step 5: Solve for x
    x = 854,731,914,418.27/413,819.44
  6. Step 6: Final answer
    x = 2,065,470.68

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.