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Finding the Third Proportional to 861,997.69 and 1,829,067.75

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Solution

The third proportional to 861,997.69 and 1,829,067.75 is: 3,881,087.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,997.69 : 1,829,067.75 = 1,829,067.75 : x
  2. Step 2: Convert to fraction form
    861,997.69/1,829,067.75 = 1,829,067.75/x
  3. Step 3: Cross multiply
    861,997.69x = 1,829,067.75 × 1,829,067.75
  4. Step 4: Simplify right side
    861,997.69x = 3,345,488,834,090.06
  5. Step 5: Solve for x
    x = 3,345,488,834,090.06/861,997.69
  6. Step 6: Final answer
    x = 3,881,087.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.