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Finding the Third Proportional to 540,157 and 1,179,975

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Solution

The third proportional to 540,157 and 1,179,975 is: 2,577,659.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,157 : 1,179,975 = 1,179,975 : x
  2. Step 2: Convert to fraction form
    540,157/1,179,975 = 1,179,975/x
  3. Step 3: Cross multiply
    540,157x = 1,179,975 × 1,179,975
  4. Step 4: Simplify right side
    540,157x = 1,392,341,000,625
  5. Step 5: Solve for x
    x = 1,392,341,000,625/540,157
  6. Step 6: Final answer
    x = 2,577,659.83

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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.