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Finding the Third Proportional to 574,377 and 1,253,199

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Solution

The third proportional to 574,377 and 1,253,199 is: 2,734,280.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,377 : 1,253,199 = 1,253,199 : x
  2. Step 2: Convert to fraction form
    574,377/1,253,199 = 1,253,199/x
  3. Step 3: Cross multiply
    574,377x = 1,253,199 × 1,253,199
  4. Step 4: Simplify right side
    574,377x = 1,570,507,733,601
  5. Step 5: Solve for x
    x = 1,570,507,733,601/574,377
  6. Step 6: Final answer
    x = 2,734,280.33

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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.