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Finding the Third Proportional to 499,745 and 1,092,691

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Solution

The third proportional to 499,745 and 1,092,691 is: 2,389,165.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,745 : 1,092,691 = 1,092,691 : x
  2. Step 2: Convert to fraction form
    499,745/1,092,691 = 1,092,691/x
  3. Step 3: Cross multiply
    499,745x = 1,092,691 × 1,092,691
  4. Step 4: Simplify right side
    499,745x = 1,193,973,621,481
  5. Step 5: Solve for x
    x = 1,193,973,621,481/499,745
  6. Step 6: Final answer
    x = 2,389,165.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.