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Finding the Third Proportional to 676,452 and 1,408,872

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Solution

The third proportional to 676,452 and 1,408,872 is: 2,934,310.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,452 : 1,408,872 = 1,408,872 : x
  2. Step 2: Convert to fraction form
    676,452/1,408,872 = 1,408,872/x
  3. Step 3: Cross multiply
    676,452x = 1,408,872 × 1,408,872
  4. Step 4: Simplify right side
    676,452x = 1,984,920,312,384
  5. Step 5: Solve for x
    x = 1,984,920,312,384/676,452
  6. Step 6: Final answer
    x = 2,934,310.66

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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.