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Finding the Third Proportional to 965,114 and 2,079,811

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Solution

The third proportional to 965,114 and 2,079,811 is: 4,481,971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,114 : 2,079,811 = 2,079,811 : x
  2. Step 2: Convert to fraction form
    965,114/2,079,811 = 2,079,811/x
  3. Step 3: Cross multiply
    965,114x = 2,079,811 × 2,079,811
  4. Step 4: Simplify right side
    965,114x = 4,325,613,795,721
  5. Step 5: Solve for x
    x = 4,325,613,795,721/965,114
  6. Step 6: Final answer
    x = 4,481,971.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.