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Finding the Third Proportional to 512,631 and 789,027

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Solution

The third proportional to 512,631 and 789,027 is: 1,214,447.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,631 : 789,027 = 789,027 : x
  2. Step 2: Convert to fraction form
    512,631/789,027 = 789,027/x
  3. Step 3: Cross multiply
    512,631x = 789,027 × 789,027
  4. Step 4: Simplify right side
    512,631x = 622,563,606,729
  5. Step 5: Solve for x
    x = 622,563,606,729/512,631
  6. Step 6: Final answer
    x = 1,214,447.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.