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Finding the Third Proportional to 1,168,311 and 2,511,123

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Solution

The third proportional to 1,168,311 and 2,511,123 is: 5,397,311.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168,311 : 2,511,123 = 2,511,123 : x
  2. Step 2: Convert to fraction form
    1,168,311/2,511,123 = 2,511,123/x
  3. Step 3: Cross multiply
    1,168,311x = 2,511,123 × 2,511,123
  4. Step 4: Simplify right side
    1,168,311x = 6,305,738,721,129
  5. Step 5: Solve for x
    x = 6,305,738,721,129/1,168,311
  6. Step 6: Final answer
    x = 5,397,311.78

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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.