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Finding the Third Proportional to 541,474 and 1,190,948

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Solution

The third proportional to 541,474 and 1,190,948 is: 2,619,437.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,474 : 1,190,948 = 1,190,948 : x
  2. Step 2: Convert to fraction form
    541,474/1,190,948 = 1,190,948/x
  3. Step 3: Cross multiply
    541,474x = 1,190,948 × 1,190,948
  4. Step 4: Simplify right side
    541,474x = 1,418,357,138,704
  5. Step 5: Solve for x
    x = 1,418,357,138,704/541,474
  6. Step 6: Final answer
    x = 2,619,437.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.