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Finding the Third Proportional to 494,218 and 1,002,189

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Solution

The third proportional to 494,218 and 1,002,189 is: 2,032,266.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,218 : 1,002,189 = 1,002,189 : x
  2. Step 2: Convert to fraction form
    494,218/1,002,189 = 1,002,189/x
  3. Step 3: Cross multiply
    494,218x = 1,002,189 × 1,002,189
  4. Step 4: Simplify right side
    494,218x = 1,004,382,791,721
  5. Step 5: Solve for x
    x = 1,004,382,791,721/494,218
  6. Step 6: Final answer
    x = 2,032,266.72

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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.