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Finding the Third Proportional to 668,560 and 1,469,408

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Solution

The third proportional to 668,560 and 1,469,408 is: 3,229,567.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,560 : 1,469,408 = 1,469,408 : x
  2. Step 2: Convert to fraction form
    668,560/1,469,408 = 1,469,408/x
  3. Step 3: Cross multiply
    668,560x = 1,469,408 × 1,469,408
  4. Step 4: Simplify right side
    668,560x = 2,159,159,870,464
  5. Step 5: Solve for x
    x = 2,159,159,870,464/668,560
  6. Step 6: Final answer
    x = 3,229,567.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.