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Finding the Third Proportional to 574,157.25 and 1,253,374.88

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Solution

The third proportional to 574,157.25 and 1,253,374.88 is: 2,736,094.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,157.25 : 1,253,374.88 = 1,253,374.88 : x
  2. Step 2: Convert to fraction form
    574,157.25/1,253,374.88 = 1,253,374.88/x
  3. Step 3: Cross multiply
    574,157.25x = 1,253,374.88 × 1,253,374.88
  4. Step 4: Simplify right side
    574,157.25x = 1,570,948,577,281.27
  5. Step 5: Solve for x
    x = 1,570,948,577,281.27/574,157.25
  6. Step 6: Final answer
    x = 2,736,094.65

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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.