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Finding the Third Proportional to 494,496 and 1,067,832

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Solution

The third proportional to 494,496 and 1,067,832 is: 2,305,913.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,496 : 1,067,832 = 1,067,832 : x
  2. Step 2: Convert to fraction form
    494,496/1,067,832 = 1,067,832/x
  3. Step 3: Cross multiply
    494,496x = 1,067,832 × 1,067,832
  4. Step 4: Simplify right side
    494,496x = 1,140,265,180,224
  5. Step 5: Solve for x
    x = 1,140,265,180,224/494,496
  6. Step 6: Final answer
    x = 2,305,913.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.