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Finding the Third Proportional to 511,927 and 1,110,872

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Solution

The third proportional to 511,927 and 1,110,872 is: 2,410,571.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,927 : 1,110,872 = 1,110,872 : x
  2. Step 2: Convert to fraction form
    511,927/1,110,872 = 1,110,872/x
  3. Step 3: Cross multiply
    511,927x = 1,110,872 × 1,110,872
  4. Step 4: Simplify right side
    511,927x = 1,234,036,600,384
  5. Step 5: Solve for x
    x = 1,234,036,600,384/511,927
  6. Step 6: Final answer
    x = 2,410,571.43

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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.