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Finding the Third Proportional to 490,593 and 1,086,108

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Solution

The third proportional to 490,593 and 1,086,108 is: 2,404,499.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,593 : 1,086,108 = 1,086,108 : x
  2. Step 2: Convert to fraction form
    490,593/1,086,108 = 1,086,108/x
  3. Step 3: Cross multiply
    490,593x = 1,086,108 × 1,086,108
  4. Step 4: Simplify right side
    490,593x = 1,179,630,587,664
  5. Step 5: Solve for x
    x = 1,179,630,587,664/490,593
  6. Step 6: Final answer
    x = 2,404,499.43

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.