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Finding the Third Proportional to 451,107 and 979,950

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Solution

The third proportional to 451,107 and 979,950 is: 2,128,767.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,107 : 979,950 = 979,950 : x
  2. Step 2: Convert to fraction form
    451,107/979,950 = 979,950/x
  3. Step 3: Cross multiply
    451,107x = 979,950 × 979,950
  4. Step 4: Simplify right side
    451,107x = 960,302,002,500
  5. Step 5: Solve for x
    x = 960,302,002,500/451,107
  6. Step 6: Final answer
    x = 2,128,767.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.