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Finding the Third Proportional to 861,171.75 and 1,853,958.38

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Solution

The third proportional to 861,171.75 and 1,853,958.38 is: 3,991,261.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,171.75 : 1,853,958.38 = 1,853,958.38 : x
  2. Step 2: Convert to fraction form
    861,171.75/1,853,958.38 = 1,853,958.38/x
  3. Step 3: Cross multiply
    861,171.75x = 1,853,958.38 × 1,853,958.38
  4. Step 4: Simplify right side
    861,171.75x = 3,437,161,656,232.64
  5. Step 5: Solve for x
    x = 3,437,161,656,232.64/861,171.75
  6. Step 6: Final answer
    x = 3,991,261.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.