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Finding the Third Proportional to 511,881.19 and 1,102,251.38

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Solution

The third proportional to 511,881.19 and 1,102,251.38 is: 2,373,515.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,881.19 : 1,102,251.38 = 1,102,251.38 : x
  2. Step 2: Convert to fraction form
    511,881.19/1,102,251.38 = 1,102,251.38/x
  3. Step 3: Cross multiply
    511,881.19x = 1,102,251.38 × 1,102,251.38
  4. Step 4: Simplify right side
    511,881.19x = 1,214,958,093,689.39
  5. Step 5: Solve for x
    x = 1,214,958,093,689.39/511,881.19
  6. Step 6: Final answer
    x = 2,373,515.81

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