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Finding the Third Proportional to 412,144 and 868,567

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Solution

The third proportional to 412,144 and 868,567 is: 1,830,449.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,144 : 868,567 = 868,567 : x
  2. Step 2: Convert to fraction form
    412,144/868,567 = 868,567/x
  3. Step 3: Cross multiply
    412,144x = 868,567 × 868,567
  4. Step 4: Simplify right side
    412,144x = 754,408,633,489
  5. Step 5: Solve for x
    x = 754,408,633,489/412,144
  6. Step 6: Final answer
    x = 1,830,449.15

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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.