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Finding the Third Proportional to 2,196,936 and 4,749,198

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Solution

The third proportional to 2,196,936 and 4,749,198 is: 10,266,517.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196,936 : 4,749,198 = 4,749,198 : x
  2. Step 2: Convert to fraction form
    2,196,936/4,749,198 = 4,749,198/x
  3. Step 3: Cross multiply
    2,196,936x = 4,749,198 × 4,749,198
  4. Step 4: Simplify right side
    2,196,936x = 22,554,881,643,204
  5. Step 5: Solve for x
    x = 22,554,881,643,204/2,196,936
  6. Step 6: Final answer
    x = 10,266,517.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.