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Finding the Third Proportional to 588,474 and 1,247,566

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Solution

The third proportional to 588,474 and 1,247,566 is: 2,644,842.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,474 : 1,247,566 = 1,247,566 : x
  2. Step 2: Convert to fraction form
    588,474/1,247,566 = 1,247,566/x
  3. Step 3: Cross multiply
    588,474x = 1,247,566 × 1,247,566
  4. Step 4: Simplify right side
    588,474x = 1,556,420,924,356
  5. Step 5: Solve for x
    x = 1,556,420,924,356/588,474
  6. Step 6: Final answer
    x = 2,644,842.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.