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Finding the Third Proportional to 397,866 and 814,114

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Solution

The third proportional to 397,866 and 814,114 is: 1,665,841.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,866 : 814,114 = 814,114 : x
  2. Step 2: Convert to fraction form
    397,866/814,114 = 814,114/x
  3. Step 3: Cross multiply
    397,866x = 814,114 × 814,114
  4. Step 4: Simplify right side
    397,866x = 662,781,604,996
  5. Step 5: Solve for x
    x = 662,781,604,996/397,866
  6. Step 6: Final answer
    x = 1,665,841.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.