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Finding the Third Proportional to 2,389,093 and 5,198,089

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Solution

The third proportional to 2,389,093 and 5,198,089 is: 11,309,785.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389,093 : 5,198,089 = 5,198,089 : x
  2. Step 2: Convert to fraction form
    2,389,093/5,198,089 = 5,198,089/x
  3. Step 3: Cross multiply
    2,389,093x = 5,198,089 × 5,198,089
  4. Step 4: Simplify right side
    2,389,093x = 27,020,129,251,921
  5. Step 5: Solve for x
    x = 27,020,129,251,921/2,389,093
  6. Step 6: Final answer
    x = 11,309,785.45

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Why These Related Problems?

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