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Finding the Third Proportional to 538,384 and 1,132,568

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Solution

The third proportional to 538,384 and 1,132,568 is: 2,382,519.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,384 : 1,132,568 = 1,132,568 : x
  2. Step 2: Convert to fraction form
    538,384/1,132,568 = 1,132,568/x
  3. Step 3: Cross multiply
    538,384x = 1,132,568 × 1,132,568
  4. Step 4: Simplify right side
    538,384x = 1,282,710,274,624
  5. Step 5: Solve for x
    x = 1,282,710,274,624/538,384
  6. Step 6: Final answer
    x = 2,382,519.31

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.