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Finding the Third Proportional to 1,393,764 and 1,962,790

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Solution

The third proportional to 1,393,764 and 1,962,790 is: 2,764,129.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393,764 : 1,962,790 = 1,962,790 : x
  2. Step 2: Convert to fraction form
    1,393,764/1,962,790 = 1,962,790/x
  3. Step 3: Cross multiply
    1,393,764x = 1,962,790 × 1,962,790
  4. Step 4: Simplify right side
    1,393,764x = 3,852,544,584,100
  5. Step 5: Solve for x
    x = 3,852,544,584,100/1,393,764
  6. Step 6: Final answer
    x = 2,764,129.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.