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Finding the Third Proportional to 1,728,078 and 3,770,616

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Solution

The third proportional to 1,728,078 and 3,770,616 is: 8,227,374.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728,078 : 3,770,616 = 3,770,616 : x
  2. Step 2: Convert to fraction form
    1,728,078/3,770,616 = 3,770,616/x
  3. Step 3: Cross multiply
    1,728,078x = 3,770,616 × 3,770,616
  4. Step 4: Simplify right side
    1,728,078x = 14,217,545,019,456
  5. Step 5: Solve for x
    x = 14,217,545,019,456/1,728,078
  6. Step 6: Final answer
    x = 8,227,374.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.