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Finding the Third Proportional to 444,828 and 978,199

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Solution

The third proportional to 444,828 and 978,199 is: 2,151,108.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,828 : 978,199 = 978,199 : x
  2. Step 2: Convert to fraction form
    444,828/978,199 = 978,199/x
  3. Step 3: Cross multiply
    444,828x = 978,199 × 978,199
  4. Step 4: Simplify right side
    444,828x = 956,873,283,601
  5. Step 5: Solve for x
    x = 956,873,283,601/444,828
  6. Step 6: Final answer
    x = 2,151,108.48

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Why These Related Problems?

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