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Finding the Third Proportional to 848,942.50 and 1,206,993.25

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Solution

The third proportional to 848,942.50 and 1,206,993.25 is: 1,716,055.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,942.50 : 1,206,993.25 = 1,206,993.25 : x
  2. Step 2: Convert to fraction form
    848,942.50/1,206,993.25 = 1,206,993.25/x
  3. Step 3: Cross multiply
    848,942.50x = 1,206,993.25 × 1,206,993.25
  4. Step 4: Simplify right side
    848,942.50x = 1,456,832,705,545.56
  5. Step 5: Solve for x
    x = 1,456,832,705,545.56/848,942.50
  6. Step 6: Final answer
    x = 1,716,055.81

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.