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Finding the Third Proportional to 1,056,081 and 2,168,149

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Solution

The third proportional to 1,056,081 and 2,168,149 is: 4,451,240.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056,081 : 2,168,149 = 2,168,149 : x
  2. Step 2: Convert to fraction form
    1,056,081/2,168,149 = 2,168,149/x
  3. Step 3: Cross multiply
    1,056,081x = 2,168,149 × 2,168,149
  4. Step 4: Simplify right side
    1,056,081x = 4,700,870,086,201
  5. Step 5: Solve for x
    x = 4,700,870,086,201/1,056,081
  6. Step 6: Final answer
    x = 4,451,240.09

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.