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Finding the Third Proportional to 2,040,643.13 and 4,454,281.13

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Solution

The third proportional to 2,040,643.13 and 4,454,281.13 is: 9,722,729.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040,643.13 : 4,454,281.13 = 4,454,281.13 : x
  2. Step 2: Convert to fraction form
    2,040,643.13/4,454,281.13 = 4,454,281.13/x
  3. Step 3: Cross multiply
    2,040,643.13x = 4,454,281.13 × 4,454,281.13
  4. Step 4: Simplify right side
    2,040,643.13x = 19,840,620,340,531.27
  5. Step 5: Solve for x
    x = 19,840,620,340,531.27/2,040,643.13
  6. Step 6: Final answer
    x = 9,722,729.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.