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Finding the Third Proportional to 2,042,188 and 3,391,820

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Solution

The third proportional to 2,042,188 and 3,391,820 is: 5,633,390.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042,188 : 3,391,820 = 3,391,820 : x
  2. Step 2: Convert to fraction form
    2,042,188/3,391,820 = 3,391,820/x
  3. Step 3: Cross multiply
    2,042,188x = 3,391,820 × 3,391,820
  4. Step 4: Simplify right side
    2,042,188x = 11,504,442,912,400
  5. Step 5: Solve for x
    x = 11,504,442,912,400/2,042,188
  6. Step 6: Final answer
    x = 5,633,390.71

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.