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Finding the Third Proportional to 2,799,233 and 4,198,121

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Solution

The third proportional to 2,799,233 and 4,198,121 is: 6,296,088.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,799,233 : 4,198,121 = 4,198,121 : x
  2. Step 2: Convert to fraction form
    2,799,233/4,198,121 = 4,198,121/x
  3. Step 3: Cross multiply
    2,799,233x = 4,198,121 × 4,198,121
  4. Step 4: Simplify right side
    2,799,233x = 17,624,219,930,641
  5. Step 5: Solve for x
    x = 17,624,219,930,641/2,799,233
  6. Step 6: Final answer
    x = 6,296,088.94

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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.