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Finding the Third Proportional to 494,216.44 and 1,002,185.16

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Solution

The third proportional to 494,216.44 and 1,002,185.16 is: 2,032,257.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,216.44 : 1,002,185.16 = 1,002,185.16 : x
  2. Step 2: Convert to fraction form
    494,216.44/1,002,185.16 = 1,002,185.16/x
  3. Step 3: Cross multiply
    494,216.44x = 1,002,185.16 × 1,002,185.16
  4. Step 4: Simplify right side
    494,216.44x = 1,004,375,087,407.84
  5. Step 5: Solve for x
    x = 1,004,375,087,407.84/494,216.44
  6. Step 6: Final answer
    x = 2,032,257.55

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.