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Finding the Third Proportional to 591,481.50 and 1,282,614

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Solution

The third proportional to 591,481.50 and 1,282,614 is: 2,781,318.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,481.50 : 1,282,614 = 1,282,614 : x
  2. Step 2: Convert to fraction form
    591,481.50/1,282,614 = 1,282,614/x
  3. Step 3: Cross multiply
    591,481.50x = 1,282,614 × 1,282,614
  4. Step 4: Simplify right side
    591,481.50x = 1,645,098,672,996
  5. Step 5: Solve for x
    x = 1,645,098,672,996/591,481.50
  6. Step 6: Final answer
    x = 2,781,318.90

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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.