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Finding the Third Proportional to 396,643 and 814,407

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Solution

The third proportional to 396,643 and 814,407 is: 1,672,180.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,643 : 814,407 = 814,407 : x
  2. Step 2: Convert to fraction form
    396,643/814,407 = 814,407/x
  3. Step 3: Cross multiply
    396,643x = 814,407 × 814,407
  4. Step 4: Simplify right side
    396,643x = 663,258,761,649
  5. Step 5: Solve for x
    x = 663,258,761,649/396,643
  6. Step 6: Final answer
    x = 1,672,180.68

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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.