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Finding the Third Proportional to 412,182 and 868,644

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Solution

The third proportional to 412,182 and 868,644 is: 1,830,604.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,182 : 868,644 = 868,644 : x
  2. Step 2: Convert to fraction form
    412,182/868,644 = 868,644/x
  3. Step 3: Cross multiply
    412,182x = 868,644 × 868,644
  4. Step 4: Simplify right side
    412,182x = 754,542,398,736
  5. Step 5: Solve for x
    x = 754,542,398,736/412,182
  6. Step 6: Final answer
    x = 1,830,604.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.