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Finding the Third Proportional to 1,832,980 and 4,024,592

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Solution

The third proportional to 1,832,980 and 4,024,592 is: 8,836,616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832,980 : 4,024,592 = 4,024,592 : x
  2. Step 2: Convert to fraction form
    1,832,980/4,024,592 = 4,024,592/x
  3. Step 3: Cross multiply
    1,832,980x = 4,024,592 × 4,024,592
  4. Step 4: Simplify right side
    1,832,980x = 16,197,340,766,464
  5. Step 5: Solve for x
    x = 16,197,340,766,464/1,832,980
  6. Step 6: Final answer
    x = 8,836,616.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.