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Finding the Third Proportional to 538,350 and 1,165,872

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Solution

The third proportional to 538,350 and 1,165,872 is: 2,524,858.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,350 : 1,165,872 = 1,165,872 : x
  2. Step 2: Convert to fraction form
    538,350/1,165,872 = 1,165,872/x
  3. Step 3: Cross multiply
    538,350x = 1,165,872 × 1,165,872
  4. Step 4: Simplify right side
    538,350x = 1,359,257,520,384
  5. Step 5: Solve for x
    x = 1,359,257,520,384/538,350
  6. Step 6: Final answer
    x = 2,524,858.40

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.