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Finding the Third Proportional to 1,610,161.50 and 3,412,293

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Solution

The third proportional to 1,610,161.50 and 3,412,293 is: 7,231,413.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610,161.50 : 3,412,293 = 3,412,293 : x
  2. Step 2: Convert to fraction form
    1,610,161.50/3,412,293 = 3,412,293/x
  3. Step 3: Cross multiply
    1,610,161.50x = 3,412,293 × 3,412,293
  4. Step 4: Simplify right side
    1,610,161.50x = 11,643,743,517,849
  5. Step 5: Solve for x
    x = 11,643,743,517,849/1,610,161.50
  6. Step 6: Final answer
    x = 7,231,413.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.