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Finding the Third Proportional to 394,096 and 847,322

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Solution

The third proportional to 394,096 and 847,322 is: 1,821,775.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,096 : 847,322 = 847,322 : x
  2. Step 2: Convert to fraction form
    394,096/847,322 = 847,322/x
  3. Step 3: Cross multiply
    394,096x = 847,322 × 847,322
  4. Step 4: Simplify right side
    394,096x = 717,954,571,684
  5. Step 5: Solve for x
    x = 717,954,571,684/394,096
  6. Step 6: Final answer
    x = 1,821,775.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.