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Finding the Third Proportional to 2,198,751 and 3,363,519

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Solution

The third proportional to 2,198,751 and 3,363,519 is: 5,145,312.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198,751 : 3,363,519 = 3,363,519 : x
  2. Step 2: Convert to fraction form
    2,198,751/3,363,519 = 3,363,519/x
  3. Step 3: Cross multiply
    2,198,751x = 3,363,519 × 3,363,519
  4. Step 4: Simplify right side
    2,198,751x = 11,313,260,063,361
  5. Step 5: Solve for x
    x = 11,313,260,063,361/2,198,751
  6. Step 6: Final answer
    x = 5,145,312.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.