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Finding the Third Proportional to 407,154 and 868,408

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Solution

The third proportional to 407,154 and 868,408 is: 1,852,204.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,154 : 868,408 = 868,408 : x
  2. Step 2: Convert to fraction form
    407,154/868,408 = 868,408/x
  3. Step 3: Cross multiply
    407,154x = 868,408 × 868,408
  4. Step 4: Simplify right side
    407,154x = 754,132,454,464
  5. Step 5: Solve for x
    x = 754,132,454,464/407,154
  6. Step 6: Final answer
    x = 1,852,204.46

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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.