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Finding the Third Proportional to 447,084 and 871,758

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Solution

The third proportional to 447,084 and 871,758 is: 1,699,819.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,084 : 871,758 = 871,758 : x
  2. Step 2: Convert to fraction form
    447,084/871,758 = 871,758/x
  3. Step 3: Cross multiply
    447,084x = 871,758 × 871,758
  4. Step 4: Simplify right side
    447,084x = 759,962,010,564
  5. Step 5: Solve for x
    x = 759,962,010,564/447,084
  6. Step 6: Final answer
    x = 1,699,819.30

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.