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Finding the Third Proportional to 1,922,738 and 4,451,019

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Solution

The third proportional to 1,922,738 and 4,451,019 is: 10,303,832.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922,738 : 4,451,019 = 4,451,019 : x
  2. Step 2: Convert to fraction form
    1,922,738/4,451,019 = 4,451,019/x
  3. Step 3: Cross multiply
    1,922,738x = 4,451,019 × 4,451,019
  4. Step 4: Simplify right side
    1,922,738x = 19,811,570,138,361
  5. Step 5: Solve for x
    x = 19,811,570,138,361/1,922,738
  6. Step 6: Final answer
    x = 10,303,832.42

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.