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Finding the Third Proportional to 422,587.13 and 939,660.75

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Solution

The third proportional to 422,587.13 and 939,660.75 is: 2,089,420.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,587.13 : 939,660.75 = 939,660.75 : x
  2. Step 2: Convert to fraction form
    422,587.13/939,660.75 = 939,660.75/x
  3. Step 3: Cross multiply
    422,587.13x = 939,660.75 × 939,660.75
  4. Step 4: Simplify right side
    422,587.13x = 882,962,325,090.56
  5. Step 5: Solve for x
    x = 882,962,325,090.56/422,587.13
  6. Step 6: Final answer
    x = 2,089,420.79

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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.