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Finding the Third Proportional to 444,720.38 and 978,004.13

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Solution

The third proportional to 444,720.38 and 978,004.13 is: 2,150,771.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,720.38 : 978,004.13 = 978,004.13 : x
  2. Step 2: Convert to fraction form
    444,720.38/978,004.13 = 978,004.13/x
  3. Step 3: Cross multiply
    444,720.38x = 978,004.13 × 978,004.13
  4. Step 4: Simplify right side
    444,720.38x = 956,492,068,517.02
  5. Step 5: Solve for x
    x = 956,492,068,517.02/444,720.38
  6. Step 6: Final answer
    x = 2,150,771.86

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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.