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Finding the Third Proportional to 1,922,736 and 4,451,014

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Solution

The third proportional to 1,922,736 and 4,451,014 is: 10,303,819.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922,736 : 4,451,014 = 4,451,014 : x
  2. Step 2: Convert to fraction form
    1,922,736/4,451,014 = 4,451,014/x
  3. Step 3: Cross multiply
    1,922,736x = 4,451,014 × 4,451,014
  4. Step 4: Simplify right side
    1,922,736x = 19,811,525,628,196
  5. Step 5: Solve for x
    x = 19,811,525,628,196/1,922,736
  6. Step 6: Final answer
    x = 10,303,819.99

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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.