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Finding the Third Proportional to 444,834 and 978,211

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Solution

The third proportional to 444,834 and 978,211 is: 2,151,132.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,834 : 978,211 = 978,211 : x
  2. Step 2: Convert to fraction form
    444,834/978,211 = 978,211/x
  3. Step 3: Cross multiply
    444,834x = 978,211 × 978,211
  4. Step 4: Simplify right side
    444,834x = 956,896,760,521
  5. Step 5: Solve for x
    x = 956,896,760,521/444,834
  6. Step 6: Final answer
    x = 2,151,132.24

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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.