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Finding the Third Proportional to 448,096 and 984,536

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Solution

The third proportional to 448,096 and 984,536 is: 2,163,177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,096 : 984,536 = 984,536 : x
  2. Step 2: Convert to fraction form
    448,096/984,536 = 984,536/x
  3. Step 3: Cross multiply
    448,096x = 984,536 × 984,536
  4. Step 4: Simplify right side
    448,096x = 969,311,135,296
  5. Step 5: Solve for x
    x = 969,311,135,296/448,096
  6. Step 6: Final answer
    x = 2,163,177.39

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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.