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Finding the Third Proportional to 444,874 and 978,307

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Solution

The third proportional to 444,874 and 978,307 is: 2,151,361.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,874 : 978,307 = 978,307 : x
  2. Step 2: Convert to fraction form
    444,874/978,307 = 978,307/x
  3. Step 3: Cross multiply
    444,874x = 978,307 × 978,307
  4. Step 4: Simplify right side
    444,874x = 957,084,586,249
  5. Step 5: Solve for x
    x = 957,084,586,249/444,874
  6. Step 6: Final answer
    x = 2,151,361.03

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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.