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Finding the Third Proportional to 2,794,751 and 4,206,119

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Solution

The third proportional to 2,794,751 and 4,206,119 is: 6,330,237.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794,751 : 4,206,119 = 4,206,119 : x
  2. Step 2: Convert to fraction form
    2,794,751/4,206,119 = 4,206,119/x
  3. Step 3: Cross multiply
    2,794,751x = 4,206,119 × 4,206,119
  4. Step 4: Simplify right side
    2,794,751x = 17,691,437,042,161
  5. Step 5: Solve for x
    x = 17,691,437,042,161/2,794,751
  6. Step 6: Final answer
    x = 6,330,237.31

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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.