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Finding the Third Proportional to 3,138,737 and 4,731,191

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Solution

The third proportional to 3,138,737 and 4,731,191 is: 7,131,584.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138,737 : 4,731,191 = 4,731,191 : x
  2. Step 2: Convert to fraction form
    3,138,737/4,731,191 = 4,731,191/x
  3. Step 3: Cross multiply
    3,138,737x = 4,731,191 × 4,731,191
  4. Step 4: Simplify right side
    3,138,737x = 22,384,168,278,481
  5. Step 5: Solve for x
    x = 22,384,168,278,481/3,138,737
  6. Step 6: Final answer
    x = 7,131,584.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.