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Finding the Third Proportional to 965,112 and 1,906,001

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Solution

The third proportional to 965,112 and 1,906,001 is: 3,764,163.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,112 : 1,906,001 = 1,906,001 : x
  2. Step 2: Convert to fraction form
    965,112/1,906,001 = 1,906,001/x
  3. Step 3: Cross multiply
    965,112x = 1,906,001 × 1,906,001
  4. Step 4: Simplify right side
    965,112x = 3,632,839,812,001
  5. Step 5: Solve for x
    x = 3,632,839,812,001/965,112
  6. Step 6: Final answer
    x = 3,764,163.96

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.