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Finding the Third Proportional to 825,530 and 1,140,694

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Solution

The third proportional to 825,530 and 1,140,694 is: 1,576,178.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,530 : 1,140,694 = 1,140,694 : x
  2. Step 2: Convert to fraction form
    825,530/1,140,694 = 1,140,694/x
  3. Step 3: Cross multiply
    825,530x = 1,140,694 × 1,140,694
  4. Step 4: Simplify right side
    825,530x = 1,301,182,801,636
  5. Step 5: Solve for x
    x = 1,301,182,801,636/825,530
  6. Step 6: Final answer
    x = 1,576,178.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.