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Finding the Third Proportional to 444,744 and 980,208

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Solution

The third proportional to 444,744 and 980,208 is: 2,160,361.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,744 : 980,208 = 980,208 : x
  2. Step 2: Convert to fraction form
    444,744/980,208 = 980,208/x
  3. Step 3: Cross multiply
    444,744x = 980,208 × 980,208
  4. Step 4: Simplify right side
    444,744x = 960,807,723,264
  5. Step 5: Solve for x
    x = 960,807,723,264/444,744
  6. Step 6: Final answer
    x = 2,160,361.29

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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.