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Finding the Third Proportional to 2,033,768.25 and 3,149,016.75

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Solution

The third proportional to 2,033,768.25 and 3,149,016.75 is: 4,875,829.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033,768.25 : 3,149,016.75 = 3,149,016.75 : x
  2. Step 2: Convert to fraction form
    2,033,768.25/3,149,016.75 = 3,149,016.75/x
  3. Step 3: Cross multiply
    2,033,768.25x = 3,149,016.75 × 3,149,016.75
  4. Step 4: Simplify right side
    2,033,768.25x = 9,916,306,491,780.56
  5. Step 5: Solve for x
    x = 9,916,306,491,780.56/2,033,768.25
  6. Step 6: Final answer
    x = 4,875,829.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.