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Finding the Third Proportional to 569,923 and 1,238,620

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Solution

The third proportional to 569,923 and 1,238,620 is: 2,691,906.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,923 : 1,238,620 = 1,238,620 : x
  2. Step 2: Convert to fraction form
    569,923/1,238,620 = 1,238,620/x
  3. Step 3: Cross multiply
    569,923x = 1,238,620 × 1,238,620
  4. Step 4: Simplify right side
    569,923x = 1,534,179,504,400
  5. Step 5: Solve for x
    x = 1,534,179,504,400/569,923
  6. Step 6: Final answer
    x = 2,691,906.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.