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Finding the Third Proportional to 444,728 and 978,021

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Solution

The third proportional to 444,728 and 978,021 is: 2,150,809.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,728 : 978,021 = 978,021 : x
  2. Step 2: Convert to fraction form
    444,728/978,021 = 978,021/x
  3. Step 3: Cross multiply
    444,728x = 978,021 × 978,021
  4. Step 4: Simplify right side
    444,728x = 956,525,076,441
  5. Step 5: Solve for x
    x = 956,525,076,441/444,728
  6. Step 6: Final answer
    x = 2,150,809.21

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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.