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Finding the Third Proportional to 444,724 and 978,013

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Solution

The third proportional to 444,724 and 978,013 is: 2,150,793.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,724 : 978,013 = 978,013 : x
  2. Step 2: Convert to fraction form
    444,724/978,013 = 978,013/x
  3. Step 3: Cross multiply
    444,724x = 978,013 × 978,013
  4. Step 4: Simplify right side
    444,724x = 956,509,428,169
  5. Step 5: Solve for x
    x = 956,509,428,169/444,724
  6. Step 6: Final answer
    x = 2,150,793.36

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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.