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Finding the Third Proportional to 2,799,286 and 4,198,201

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Solution

The third proportional to 2,799,286 and 4,198,201 is: 6,296,209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,799,286 : 4,198,201 = 4,198,201 : x
  2. Step 2: Convert to fraction form
    2,799,286/4,198,201 = 4,198,201/x
  3. Step 3: Cross multiply
    2,799,286x = 4,198,201 × 4,198,201
  4. Step 4: Simplify right side
    2,799,286x = 17,624,891,636,401
  5. Step 5: Solve for x
    x = 17,624,891,636,401/2,799,286
  6. Step 6: Final answer
    x = 6,296,209.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.