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Finding the Third Proportional to 451,640 and 993,107

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Solution

The third proportional to 451,640 and 993,107 is: 2,183,733.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,640 : 993,107 = 993,107 : x
  2. Step 2: Convert to fraction form
    451,640/993,107 = 993,107/x
  3. Step 3: Cross multiply
    451,640x = 993,107 × 993,107
  4. Step 4: Simplify right side
    451,640x = 986,261,513,449
  5. Step 5: Solve for x
    x = 986,261,513,449/451,640
  6. Step 6: Final answer
    x = 2,183,733.76

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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.