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Finding the Third Proportional to 775,538 and 1,640,496

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Solution

The third proportional to 775,538 and 1,640,496 is: 3,470,142.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,538 : 1,640,496 = 1,640,496 : x
  2. Step 2: Convert to fraction form
    775,538/1,640,496 = 1,640,496/x
  3. Step 3: Cross multiply
    775,538x = 1,640,496 × 1,640,496
  4. Step 4: Simplify right side
    775,538x = 2,691,227,126,016
  5. Step 5: Solve for x
    x = 2,691,227,126,016/775,538
  6. Step 6: Final answer
    x = 3,470,142.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.