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Finding the Third Proportional to 538,103 and 1,131,975

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Solution

The third proportional to 538,103 and 1,131,975 is: 2,381,267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,103 : 1,131,975 = 1,131,975 : x
  2. Step 2: Convert to fraction form
    538,103/1,131,975 = 1,131,975/x
  3. Step 3: Cross multiply
    538,103x = 1,131,975 × 1,131,975
  4. Step 4: Simplify right side
    538,103x = 1,281,367,400,625
  5. Step 5: Solve for x
    x = 1,281,367,400,625/538,103
  6. Step 6: Final answer
    x = 2,381,267.90

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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.