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Finding the Third Proportional to 538,326 and 1,132,425

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Solution

The third proportional to 538,326 and 1,132,425 is: 2,382,174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,326 : 1,132,425 = 1,132,425 : x
  2. Step 2: Convert to fraction form
    538,326/1,132,425 = 1,132,425/x
  3. Step 3: Cross multiply
    538,326x = 1,132,425 × 1,132,425
  4. Step 4: Simplify right side
    538,326x = 1,282,386,380,625
  5. Step 5: Solve for x
    x = 1,282,386,380,625/538,326
  6. Step 6: Final answer
    x = 2,382,174.33

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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.