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Finding the Third Proportional to 490,498 and 1,055,839

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Solution

The third proportional to 490,498 and 1,055,839 is: 2,272,783.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,498 : 1,055,839 = 1,055,839 : x
  2. Step 2: Convert to fraction form
    490,498/1,055,839 = 1,055,839/x
  3. Step 3: Cross multiply
    490,498x = 1,055,839 × 1,055,839
  4. Step 4: Simplify right side
    490,498x = 1,114,795,993,921
  5. Step 5: Solve for x
    x = 1,114,795,993,921/490,498
  6. Step 6: Final answer
    x = 2,272,783.97

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.