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Finding the Third Proportional to 2,389,095 and 5,198,093

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Solution

The third proportional to 2,389,095 and 5,198,093 is: 11,309,793.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389,095 : 5,198,093 = 5,198,093 : x
  2. Step 2: Convert to fraction form
    2,389,095/5,198,093 = 5,198,093/x
  3. Step 3: Cross multiply
    2,389,095x = 5,198,093 × 5,198,093
  4. Step 4: Simplify right side
    2,389,095x = 27,020,170,836,649
  5. Step 5: Solve for x
    x = 27,020,170,836,649/2,389,095
  6. Step 6: Final answer
    x = 11,309,793.39

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.