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Finding the Third Proportional to 540,992 and 1,175,296

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Solution

The third proportional to 540,992 and 1,175,296 is: 2,553,310.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,992 : 1,175,296 = 1,175,296 : x
  2. Step 2: Convert to fraction form
    540,992/1,175,296 = 1,175,296/x
  3. Step 3: Cross multiply
    540,992x = 1,175,296 × 1,175,296
  4. Step 4: Simplify right side
    540,992x = 1,381,320,687,616
  5. Step 5: Solve for x
    x = 1,381,320,687,616/540,992
  6. Step 6: Final answer
    x = 2,553,310.75

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Why These Related Problems?

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