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Finding the Third Proportional to 394,411 and 863,453

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Solution

The third proportional to 394,411 and 863,453 is: 1,890,289.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,411 : 863,453 = 863,453 : x
  2. Step 2: Convert to fraction form
    394,411/863,453 = 863,453/x
  3. Step 3: Cross multiply
    394,411x = 863,453 × 863,453
  4. Step 4: Simplify right side
    394,411x = 745,551,083,209
  5. Step 5: Solve for x
    x = 745,551,083,209/394,411
  6. Step 6: Final answer
    x = 1,890,289.78

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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.