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Finding the Third Proportional to 511,845.75 and 1,107,633.38

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Solution

The third proportional to 511,845.75 and 1,107,633.38 is: 2,396,916.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,845.75 : 1,107,633.38 = 1,107,633.38 : x
  2. Step 2: Convert to fraction form
    511,845.75/1,107,633.38 = 1,107,633.38/x
  3. Step 3: Cross multiply
    511,845.75x = 1,107,633.38 × 1,107,633.38
  4. Step 4: Simplify right side
    511,845.75x = 1,226,851,693,413.89
  5. Step 5: Solve for x
    x = 1,226,851,693,413.89/511,845.75
  6. Step 6: Final answer
    x = 2,396,916.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.