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Finding the Third Proportional to 494,478 and 1,067,796

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Solution

The third proportional to 494,478 and 1,067,796 is: 2,305,842.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,478 : 1,067,796 = 1,067,796 : x
  2. Step 2: Convert to fraction form
    494,478/1,067,796 = 1,067,796/x
  3. Step 3: Cross multiply
    494,478x = 1,067,796 × 1,067,796
  4. Step 4: Simplify right side
    494,478x = 1,140,188,297,616
  5. Step 5: Solve for x
    x = 1,140,188,297,616/494,478
  6. Step 6: Final answer
    x = 2,305,842.32

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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.