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Finding the Third Proportional to 574,373 and 1,253,192

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Solution

The third proportional to 574,373 and 1,253,192 is: 2,734,268.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,373 : 1,253,192 = 1,253,192 : x
  2. Step 2: Convert to fraction form
    574,373/1,253,192 = 1,253,192/x
  3. Step 3: Cross multiply
    574,373x = 1,253,192 × 1,253,192
  4. Step 4: Simplify right side
    574,373x = 1,570,490,188,864
  5. Step 5: Solve for x
    x = 1,570,490,188,864/574,373
  6. Step 6: Final answer
    x = 2,734,268.83

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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.