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Finding the Third Proportional to 1,393,761 and 1,962,787

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Solution

The third proportional to 1,393,761 and 1,962,787 is: 2,764,127.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393,761 : 1,962,787 = 1,962,787 : x
  2. Step 2: Convert to fraction form
    1,393,761/1,962,787 = 1,962,787/x
  3. Step 3: Cross multiply
    1,393,761x = 1,962,787 × 1,962,787
  4. Step 4: Simplify right side
    1,393,761x = 3,852,532,807,369
  5. Step 5: Solve for x
    x = 3,852,532,807,369/1,393,761
  6. Step 6: Final answer
    x = 2,764,127.28

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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.