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Finding the Third Proportional to 394,412 and 863,454

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Solution

The third proportional to 394,412 and 863,454 is: 1,890,289.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,412 : 863,454 = 863,454 : x
  2. Step 2: Convert to fraction form
    394,412/863,454 = 863,454/x
  3. Step 3: Cross multiply
    394,412x = 863,454 × 863,454
  4. Step 4: Simplify right side
    394,412x = 745,552,810,116
  5. Step 5: Solve for x
    x = 745,552,810,116/394,412
  6. Step 6: Final answer
    x = 1,890,289.37

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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.