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Finding the Third Proportional to 965,114 and 1,906,005

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Solution

The third proportional to 965,114 and 1,906,005 is: 3,764,171.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,114 : 1,906,005 = 1,906,005 : x
  2. Step 2: Convert to fraction form
    965,114/1,906,005 = 1,906,005/x
  3. Step 3: Cross multiply
    965,114x = 1,906,005 × 1,906,005
  4. Step 4: Simplify right side
    965,114x = 3,632,855,060,025
  5. Step 5: Solve for x
    x = 3,632,855,060,025/965,114
  6. Step 6: Final answer
    x = 3,764,171.96

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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.