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Finding the Third Proportional to 511,093.13 and 1,106,819.44

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Solution

The third proportional to 511,093.13 and 1,106,819.44 is: 2,396,919.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,093.13 : 1,106,819.44 = 1,106,819.44 : x
  2. Step 2: Convert to fraction form
    511,093.13/1,106,819.44 = 1,106,819.44/x
  3. Step 3: Cross multiply
    511,093.13x = 1,106,819.44 × 1,106,819.44
  4. Step 4: Simplify right side
    511,093.13x = 1,225,049,267,227.82
  5. Step 5: Solve for x
    x = 1,225,049,267,227.82/511,093.13
  6. Step 6: Final answer
    x = 2,396,919.87

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