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Finding the Third Proportional to 574,376 and 1,253,198

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Solution

The third proportional to 574,376 and 1,253,198 is: 2,734,280.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,376 : 1,253,198 = 1,253,198 : x
  2. Step 2: Convert to fraction form
    574,376/1,253,198 = 1,253,198/x
  3. Step 3: Cross multiply
    574,376x = 1,253,198 × 1,253,198
  4. Step 4: Simplify right side
    574,376x = 1,570,505,227,204
  5. Step 5: Solve for x
    x = 1,570,505,227,204/574,376
  6. Step 6: Final answer
    x = 2,734,280.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.