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Finding the Third Proportional to 540,074 and 1,181,860

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Solution

The third proportional to 540,074 and 1,181,860 is: 2,586,299.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,074 : 1,181,860 = 1,181,860 : x
  2. Step 2: Convert to fraction form
    540,074/1,181,860 = 1,181,860/x
  3. Step 3: Cross multiply
    540,074x = 1,181,860 × 1,181,860
  4. Step 4: Simplify right side
    540,074x = 1,396,793,059,600
  5. Step 5: Solve for x
    x = 1,396,793,059,600/540,074
  6. Step 6: Final answer
    x = 2,586,299.40

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.