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Finding the Third Proportional to 1,102,286.25 and 2,248,857.56

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Solution

The third proportional to 1,102,286.25 and 2,248,857.56 is: 4,588,064.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,286.25 : 2,248,857.56 = 2,248,857.56 : x
  2. Step 2: Convert to fraction form
    1,102,286.25/2,248,857.56 = 2,248,857.56/x
  3. Step 3: Cross multiply
    1,102,286.25x = 2,248,857.56 × 2,248,857.56
  4. Step 4: Simplify right side
    1,102,286.25x = 5,057,360,336,413.44
  5. Step 5: Solve for x
    x = 5,057,360,336,413.44/1,102,286.25
  6. Step 6: Final answer
    x = 4,588,064.43

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.