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Finding the Third Proportional to 1,728,616.50 and 3,734,199

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Solution

The third proportional to 1,728,616.50 and 3,734,199 is: 8,066,706.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728,616.50 : 3,734,199 = 3,734,199 : x
  2. Step 2: Convert to fraction form
    1,728,616.50/3,734,199 = 3,734,199/x
  3. Step 3: Cross multiply
    1,728,616.50x = 3,734,199 × 3,734,199
  4. Step 4: Simplify right side
    1,728,616.50x = 13,944,242,171,601
  5. Step 5: Solve for x
    x = 13,944,242,171,601/1,728,616.50
  6. Step 6: Final answer
    x = 8,066,706.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.