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Finding the Third Proportional to 681,301.13 and 1,433,149.88

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Solution

The third proportional to 681,301.13 and 1,433,149.88 is: 3,014,700.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,301.13 : 1,433,149.88 = 1,433,149.88 : x
  2. Step 2: Convert to fraction form
    681,301.13/1,433,149.88 = 1,433,149.88/x
  3. Step 3: Cross multiply
    681,301.13x = 1,433,149.88 × 1,433,149.88
  4. Step 4: Simplify right side
    681,301.13x = 2,053,918,564,212.52
  5. Step 5: Solve for x
    x = 2,053,918,564,212.52/681,301.13
  6. Step 6: Final answer
    x = 3,014,700.09

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.