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Finding the Third Proportional to 2,846,484 and 6,198,367

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Solution

The third proportional to 2,846,484 and 6,198,367 is: 13,497,266.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846,484 : 6,198,367 = 6,198,367 : x
  2. Step 2: Convert to fraction form
    2,846,484/6,198,367 = 6,198,367/x
  3. Step 3: Cross multiply
    2,846,484x = 6,198,367 × 6,198,367
  4. Step 4: Simplify right side
    2,846,484x = 38,419,753,466,689
  5. Step 5: Solve for x
    x = 38,419,753,466,689/2,846,484
  6. Step 6: Final answer
    x = 13,497,266.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.