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Finding the Third Proportional to 416,048 and 981,152

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Solution

The third proportional to 416,048 and 981,152 is: 2,313,817.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,048 : 981,152 = 981,152 : x
  2. Step 2: Convert to fraction form
    416,048/981,152 = 981,152/x
  3. Step 3: Cross multiply
    416,048x = 981,152 × 981,152
  4. Step 4: Simplify right side
    416,048x = 962,659,247,104
  5. Step 5: Solve for x
    x = 962,659,247,104/416,048
  6. Step 6: Final answer
    x = 2,313,817.75

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.