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Finding the Third Proportional to 543,186 and 1,165,266

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Solution

The third proportional to 543,186 and 1,165,266 is: 2,499,778.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,186 : 1,165,266 = 1,165,266 : x
  2. Step 2: Convert to fraction form
    543,186/1,165,266 = 1,165,266/x
  3. Step 3: Cross multiply
    543,186x = 1,165,266 × 1,165,266
  4. Step 4: Simplify right side
    543,186x = 1,357,844,850,756
  5. Step 5: Solve for x
    x = 1,357,844,850,756/543,186
  6. Step 6: Final answer
    x = 2,499,778.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.