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Finding the Third Proportional to 512,622 and 789,012

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Solution

The third proportional to 512,622 and 789,012 is: 1,214,422.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,622 : 789,012 = 789,012 : x
  2. Step 2: Convert to fraction form
    512,622/789,012 = 789,012/x
  3. Step 3: Cross multiply
    512,622x = 789,012 × 789,012
  4. Step 4: Simplify right side
    512,622x = 622,539,936,144
  5. Step 5: Solve for x
    x = 622,539,936,144/512,622
  6. Step 6: Final answer
    x = 1,214,422.98

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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.