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Finding the Third Proportional to 534,572.16 and 1,163,251.97

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Solution

The third proportional to 534,572.16 and 1,163,251.97 is: 2,531,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,572.16 : 1,163,251.97 = 1,163,251.97 : x
  2. Step 2: Convert to fraction form
    534,572.16/1,163,251.97 = 1,163,251.97/x
  3. Step 3: Cross multiply
    534,572.16x = 1,163,251.97 × 1,163,251.97
  4. Step 4: Simplify right side
    534,572.16x = 1,353,155,142,800.75
  5. Step 5: Solve for x
    x = 1,353,155,142,800.75/534,572.16
  6. Step 6: Final answer
    x = 2,531,286.24

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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.