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Finding the Third Proportional to 538,398 and 1,132,569

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Solution

The third proportional to 538,398 and 1,132,569 is: 2,382,461.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,398 : 1,132,569 = 1,132,569 : x
  2. Step 2: Convert to fraction form
    538,398/1,132,569 = 1,132,569/x
  3. Step 3: Cross multiply
    538,398x = 1,132,569 × 1,132,569
  4. Step 4: Simplify right side
    538,398x = 1,282,712,539,761
  5. Step 5: Solve for x
    x = 1,282,712,539,761/538,398
  6. Step 6: Final answer
    x = 2,382,461.56

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Why These Related Problems?

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