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Finding the Third Proportional to 769,034.25 and 1,682,805.38

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Solution

The third proportional to 769,034.25 and 1,682,805.38 is: 3,682,324.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,034.25 : 1,682,805.38 = 1,682,805.38 : x
  2. Step 2: Convert to fraction form
    769,034.25/1,682,805.38 = 1,682,805.38/x
  3. Step 3: Cross multiply
    769,034.25x = 1,682,805.38 × 1,682,805.38
  4. Step 4: Simplify right side
    769,034.25x = 2,831,833,930,128.89
  5. Step 5: Solve for x
    x = 2,831,833,930,128.89/769,034.25
  6. Step 6: Final answer
    x = 3,682,324.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.