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Finding the Third Proportional to 412,154 and 868,588

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Solution

The third proportional to 412,154 and 868,588 is: 1,830,493.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,154 : 868,588 = 868,588 : x
  2. Step 2: Convert to fraction form
    412,154/868,588 = 868,588/x
  3. Step 3: Cross multiply
    412,154x = 868,588 × 868,588
  4. Step 4: Simplify right side
    412,154x = 754,445,113,744
  5. Step 5: Solve for x
    x = 754,445,113,744/412,154
  6. Step 6: Final answer
    x = 1,830,493.25

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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.