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Finding the Third Proportional to 574,148.25 and 1,251,627.19

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Solution

The third proportional to 574,148.25 and 1,251,627.19 is: 2,728,512.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,148.25 : 1,251,627.19 = 1,251,627.19 : x
  2. Step 2: Convert to fraction form
    574,148.25/1,251,627.19 = 1,251,627.19/x
  3. Step 3: Cross multiply
    574,148.25x = 1,251,627.19 × 1,251,627.19
  4. Step 4: Simplify right side
    574,148.25x = 1,566,570,616,489.16
  5. Step 5: Solve for x
    x = 1,566,570,616,489.16/574,148.25
  6. Step 6: Final answer
    x = 2,728,512.39

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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.