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Finding the Third Proportional to 861,252 and 1,840,296

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Solution

The third proportional to 861,252 and 1,840,296 is: 3,932,286.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,252 : 1,840,296 = 1,840,296 : x
  2. Step 2: Convert to fraction form
    861,252/1,840,296 = 1,840,296/x
  3. Step 3: Cross multiply
    861,252x = 1,840,296 × 1,840,296
  4. Step 4: Simplify right side
    861,252x = 3,386,689,367,616
  5. Step 5: Solve for x
    x = 3,386,689,367,616/861,252
  6. Step 6: Final answer
    x = 3,932,286.22

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.