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Finding the Third Proportional to 848,944.13 and 1,206,996.19

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Solution

The third proportional to 848,944.13 and 1,206,996.19 is: 1,716,060.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,944.13 : 1,206,996.19 = 1,206,996.19 : x
  2. Step 2: Convert to fraction form
    848,944.13/1,206,996.19 = 1,206,996.19/x
  3. Step 3: Cross multiply
    848,944.13x = 1,206,996.19 × 1,206,996.19
  4. Step 4: Simplify right side
    848,944.13x = 1,456,839,796,639.54
  5. Step 5: Solve for x
    x = 1,456,839,796,639.54/848,944.13
  6. Step 6: Final answer
    x = 1,716,060.87

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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.