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Finding the Third Proportional to 551,197 and 1,181,126

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Solution

The third proportional to 551,197 and 1,181,126 is: 2,530,961.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,197 : 1,181,126 = 1,181,126 : x
  2. Step 2: Convert to fraction form
    551,197/1,181,126 = 1,181,126/x
  3. Step 3: Cross multiply
    551,197x = 1,181,126 × 1,181,126
  4. Step 4: Simplify right side
    551,197x = 1,395,058,627,876
  5. Step 5: Solve for x
    x = 1,395,058,627,876/551,197
  6. Step 6: Final answer
    x = 2,530,961.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.