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Finding the Third Proportional to 427,141.38 and 939,548.75

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Solution

The third proportional to 427,141.38 and 939,548.75 is: 2,066,650.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,141.38 : 939,548.75 = 939,548.75 : x
  2. Step 2: Convert to fraction form
    427,141.38/939,548.75 = 939,548.75/x
  3. Step 3: Cross multiply
    427,141.38x = 939,548.75 × 939,548.75
  4. Step 4: Simplify right side
    427,141.38x = 882,751,853,626.56
  5. Step 5: Solve for x
    x = 882,751,853,626.56/427,141.38
  6. Step 6: Final answer
    x = 2,066,650.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.