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Finding the Third Proportional to 511,217.42 and 1,107,632.92

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Solution

The third proportional to 511,217.42 and 1,107,632.92 is: 2,399,860.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,217.42 : 1,107,632.92 = 1,107,632.92 : x
  2. Step 2: Convert to fraction form
    511,217.42/1,107,632.92 = 1,107,632.92/x
  3. Step 3: Cross multiply
    511,217.42x = 1,107,632.92 × 1,107,632.92
  4. Step 4: Simplify right side
    511,217.42x = 1,226,850,680,968.08
  5. Step 5: Solve for x
    x = 1,226,850,680,968.08/511,217.42
  6. Step 6: Final answer
    x = 2,399,860.87

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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.