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Finding the Third Proportional to 676,451 and 1,408,870

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Solution

The third proportional to 676,451 and 1,408,870 is: 2,934,306.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,451 : 1,408,870 = 1,408,870 : x
  2. Step 2: Convert to fraction form
    676,451/1,408,870 = 1,408,870/x
  3. Step 3: Cross multiply
    676,451x = 1,408,870 × 1,408,870
  4. Step 4: Simplify right side
    676,451x = 1,984,914,676,900
  5. Step 5: Solve for x
    x = 1,984,914,676,900/676,451
  6. Step 6: Final answer
    x = 2,934,306.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.