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Finding the Third Proportional to 861,137.25 and 1,853,904

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Solution

The third proportional to 861,137.25 and 1,853,904 is: 3,991,187.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,137.25 : 1,853,904 = 1,853,904 : x
  2. Step 2: Convert to fraction form
    861,137.25/1,853,904 = 1,853,904/x
  3. Step 3: Cross multiply
    861,137.25x = 1,853,904 × 1,853,904
  4. Step 4: Simplify right side
    861,137.25x = 3,436,960,041,216
  5. Step 5: Solve for x
    x = 3,436,960,041,216/861,137.25
  6. Step 6: Final answer
    x = 3,991,187.28

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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.