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Finding the Third Proportional to 511,924.50 and 1,110,868

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Solution

The third proportional to 511,924.50 and 1,110,868 is: 2,410,565.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,924.50 : 1,110,868 = 1,110,868 : x
  2. Step 2: Convert to fraction form
    511,924.50/1,110,868 = 1,110,868/x
  3. Step 3: Cross multiply
    511,924.50x = 1,110,868 × 1,110,868
  4. Step 4: Simplify right side
    511,924.50x = 1,234,027,713,424
  5. Step 5: Solve for x
    x = 1,234,027,713,424/511,924.50
  6. Step 6: Final answer
    x = 2,410,565.84

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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.