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Finding the Third Proportional to 407,182 and 868,468

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Solution

The third proportional to 407,182 and 868,468 is: 1,852,333.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,182 : 868,468 = 868,468 : x
  2. Step 2: Convert to fraction form
    407,182/868,468 = 868,468/x
  3. Step 3: Cross multiply
    407,182x = 868,468 × 868,468
  4. Step 4: Simplify right side
    407,182x = 754,236,667,024
  5. Step 5: Solve for x
    x = 754,236,667,024/407,182
  6. Step 6: Final answer
    x = 1,852,333.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.