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Finding the Third Proportional to 1,965,680 and 4,204,616

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Solution

The third proportional to 1,965,680 and 4,204,616 is: 8,993,730.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965,680 : 4,204,616 = 4,204,616 : x
  2. Step 2: Convert to fraction form
    1,965,680/4,204,616 = 4,204,616/x
  3. Step 3: Cross multiply
    1,965,680x = 4,204,616 × 4,204,616
  4. Step 4: Simplify right side
    1,965,680x = 17,678,795,707,456
  5. Step 5: Solve for x
    x = 17,678,795,707,456/1,965,680
  6. Step 6: Final answer
    x = 8,993,730.27

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.