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Finding the Third Proportional to 676,454 and 1,408,874

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Solution

The third proportional to 676,454 and 1,408,874 is: 2,934,310.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,454 : 1,408,874 = 1,408,874 : x
  2. Step 2: Convert to fraction form
    676,454/1,408,874 = 1,408,874/x
  3. Step 3: Cross multiply
    676,454x = 1,408,874 × 1,408,874
  4. Step 4: Simplify right side
    676,454x = 1,984,925,947,876
  5. Step 5: Solve for x
    x = 1,984,925,947,876/676,454
  6. Step 6: Final answer
    x = 2,934,310.31

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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.