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Finding the Third Proportional to 2,368,934 and 5,198,764

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Solution

The third proportional to 2,368,934 and 5,198,764 is: 11,408,991.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368,934 : 5,198,764 = 5,198,764 : x
  2. Step 2: Convert to fraction form
    2,368,934/5,198,764 = 5,198,764/x
  3. Step 3: Cross multiply
    2,368,934x = 5,198,764 × 5,198,764
  4. Step 4: Simplify right side
    2,368,934x = 27,027,147,127,696
  5. Step 5: Solve for x
    x = 27,027,147,127,696/2,368,934
  6. Step 6: Final answer
    x = 11,408,991.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.