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Finding the Third Proportional to 2,716,296 and 5,756,384

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Solution

The third proportional to 2,716,296 and 5,756,384 is: 12,198,949.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716,296 : 5,756,384 = 5,756,384 : x
  2. Step 2: Convert to fraction form
    2,716,296/5,756,384 = 5,756,384/x
  3. Step 3: Cross multiply
    2,716,296x = 5,756,384 × 5,756,384
  4. Step 4: Simplify right side
    2,716,296x = 33,135,956,755,456
  5. Step 5: Solve for x
    x = 33,135,956,755,456/2,716,296
  6. Step 6: Final answer
    x = 12,198,949.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.