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Finding the Third Proportional to 676,458 and 1,408,882

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Solution

The third proportional to 676,458 and 1,408,882 is: 2,934,326.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,458 : 1,408,882 = 1,408,882 : x
  2. Step 2: Convert to fraction form
    676,458/1,408,882 = 1,408,882/x
  3. Step 3: Cross multiply
    676,458x = 1,408,882 × 1,408,882
  4. Step 4: Simplify right side
    676,458x = 1,984,948,489,924
  5. Step 5: Solve for x
    x = 1,984,948,489,924/676,458
  6. Step 6: Final answer
    x = 2,934,326.28

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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.