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Finding the Third Proportional to 444,742 and 978,048

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Solution

The third proportional to 444,742 and 978,048 is: 2,150,860.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,742 : 978,048 = 978,048 : x
  2. Step 2: Convert to fraction form
    444,742/978,048 = 978,048/x
  3. Step 3: Cross multiply
    444,742x = 978,048 × 978,048
  4. Step 4: Simplify right side
    444,742x = 956,577,890,304
  5. Step 5: Solve for x
    x = 956,577,890,304/444,742
  6. Step 6: Final answer
    x = 2,150,860.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.