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Finding the Third Proportional to 1,922,728 and 4,450,984

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Solution

The third proportional to 1,922,728 and 4,450,984 is: 10,303,723.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922,728 : 4,450,984 = 4,450,984 : x
  2. Step 2: Convert to fraction form
    1,922,728/4,450,984 = 4,450,984/x
  3. Step 3: Cross multiply
    1,922,728x = 4,450,984 × 4,450,984
  4. Step 4: Simplify right side
    1,922,728x = 19,811,258,568,256
  5. Step 5: Solve for x
    x = 19,811,258,568,256/1,922,728
  6. Step 6: Final answer
    x = 10,303,723.96

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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.