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Finding the Third Proportional to 676,449 and 1,408,866

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Solution

The third proportional to 676,449 and 1,408,866 is: 2,934,298.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,449 : 1,408,866 = 1,408,866 : x
  2. Step 2: Convert to fraction form
    676,449/1,408,866 = 1,408,866/x
  3. Step 3: Cross multiply
    676,449x = 1,408,866 × 1,408,866
  4. Step 4: Simplify right side
    676,449x = 1,984,903,405,956
  5. Step 5: Solve for x
    x = 1,984,903,405,956/676,449
  6. Step 6: Final answer
    x = 2,934,298.68

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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.