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Finding the Third Proportional to 2,198,769 and 3,363,549

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Solution

The third proportional to 2,198,769 and 3,363,549 is: 5,145,361.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198,769 : 3,363,549 = 3,363,549 : x
  2. Step 2: Convert to fraction form
    2,198,769/3,363,549 = 3,363,549/x
  3. Step 3: Cross multiply
    2,198,769x = 3,363,549 × 3,363,549
  4. Step 4: Simplify right side
    2,198,769x = 11,313,461,875,401
  5. Step 5: Solve for x
    x = 11,313,461,875,401/2,198,769
  6. Step 6: Final answer
    x = 5,145,361.73

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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.