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Finding the Third Proportional to 444,328 and 967,496

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Solution

The third proportional to 444,328 and 967,496 is: 2,106,661.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,328 : 967,496 = 967,496 : x
  2. Step 2: Convert to fraction form
    444,328/967,496 = 967,496/x
  3. Step 3: Cross multiply
    444,328x = 967,496 × 967,496
  4. Step 4: Simplify right side
    444,328x = 936,048,510,016
  5. Step 5: Solve for x
    x = 936,048,510,016/444,328
  6. Step 6: Final answer
    x = 2,106,661.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.