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Finding the Third Proportional to 657,951.75 and 1,434,892.50

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Solution

The third proportional to 657,951.75 and 1,434,892.50 is: 3,129,281.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,951.75 : 1,434,892.50 = 1,434,892.50 : x
  2. Step 2: Convert to fraction form
    657,951.75/1,434,892.50 = 1,434,892.50/x
  3. Step 3: Cross multiply
    657,951.75x = 1,434,892.50 × 1,434,892.50
  4. Step 4: Simplify right side
    657,951.75x = 2,058,916,486,556.25
  5. Step 5: Solve for x
    x = 2,058,916,486,556.25/657,951.75
  6. Step 6: Final answer
    x = 3,129,281.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.