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Finding the Third Proportional to 422,608 and 939,708

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Solution

The third proportional to 422,608 and 939,708 is: 2,089,527.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,608 : 939,708 = 939,708 : x
  2. Step 2: Convert to fraction form
    422,608/939,708 = 939,708/x
  3. Step 3: Cross multiply
    422,608x = 939,708 × 939,708
  4. Step 4: Simplify right side
    422,608x = 883,051,125,264
  5. Step 5: Solve for x
    x = 883,051,125,264/422,608
  6. Step 6: Final answer
    x = 2,089,527.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.