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Finding the Third Proportional to 494,498 and 1,067,836

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Solution

The third proportional to 494,498 and 1,067,836 is: 2,305,921.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,498 : 1,067,836 = 1,067,836 : x
  2. Step 2: Convert to fraction form
    494,498/1,067,836 = 1,067,836/x
  3. Step 3: Cross multiply
    494,498x = 1,067,836 × 1,067,836
  4. Step 4: Simplify right side
    494,498x = 1,140,273,722,896
  5. Step 5: Solve for x
    x = 1,140,273,722,896/494,498
  6. Step 6: Final answer
    x = 2,305,921.81

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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.