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Finding the Third Proportional to 394,392 and 863,416

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Solution

The third proportional to 394,392 and 863,416 is: 1,890,218.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,392 : 863,416 = 863,416 : x
  2. Step 2: Convert to fraction form
    394,392/863,416 = 863,416/x
  3. Step 3: Cross multiply
    394,392x = 863,416 × 863,416
  4. Step 4: Simplify right side
    394,392x = 745,487,189,056
  5. Step 5: Solve for x
    x = 745,487,189,056/394,392
  6. Step 6: Final answer
    x = 1,890,218.84

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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.