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Finding the Third Proportional to 861,142.50 and 1,853,913.75

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Solution

The third proportional to 861,142.50 and 1,853,913.75 is: 3,991,204.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,142.50 : 1,853,913.75 = 1,853,913.75 : x
  2. Step 2: Convert to fraction form
    861,142.50/1,853,913.75 = 1,853,913.75/x
  3. Step 3: Cross multiply
    861,142.50x = 1,853,913.75 × 1,853,913.75
  4. Step 4: Simplify right side
    861,142.50x = 3,436,996,192,439.06
  5. Step 5: Solve for x
    x = 3,436,996,192,439.06/861,142.50
  6. Step 6: Final answer
    x = 3,991,204.93

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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.