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Finding the Third Proportional to 448,885 and 984,980

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Solution

The third proportional to 448,885 and 984,980 is: 2,161,323.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,885 : 984,980 = 984,980 : x
  2. Step 2: Convert to fraction form
    448,885/984,980 = 984,980/x
  3. Step 3: Cross multiply
    448,885x = 984,980 × 984,980
  4. Step 4: Simplify right side
    448,885x = 970,185,600,400
  5. Step 5: Solve for x
    x = 970,185,600,400/448,885
  6. Step 6: Final answer
    x = 2,161,323.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.