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Finding the Third Proportional to 444,841 and 978,241

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Solution

The third proportional to 444,841 and 978,241 is: 2,151,230.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,841 : 978,241 = 978,241 : x
  2. Step 2: Convert to fraction form
    444,841/978,241 = 978,241/x
  3. Step 3: Cross multiply
    444,841x = 978,241 × 978,241
  4. Step 4: Simplify right side
    444,841x = 956,955,454,081
  5. Step 5: Solve for x
    x = 956,955,454,081/444,841
  6. Step 6: Final answer
    x = 2,151,230.34

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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.