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Finding the Third Proportional to 641,750 and 1,374,604

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Solution

The third proportional to 641,750 and 1,374,604 is: 2,944,349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,750 : 1,374,604 = 1,374,604 : x
  2. Step 2: Convert to fraction form
    641,750/1,374,604 = 1,374,604/x
  3. Step 3: Cross multiply
    641,750x = 1,374,604 × 1,374,604
  4. Step 4: Simplify right side
    641,750x = 1,889,536,156,816
  5. Step 5: Solve for x
    x = 1,889,536,156,816/641,750
  6. Step 6: Final answer
    x = 2,944,349.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.