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Finding the Third Proportional to 2,389,094 and 5,198,091

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Solution

The third proportional to 2,389,094 and 5,198,091 is: 11,309,789.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389,094 : 5,198,091 = 5,198,091 : x
  2. Step 2: Convert to fraction form
    2,389,094/5,198,091 = 5,198,091/x
  3. Step 3: Cross multiply
    2,389,094x = 5,198,091 × 5,198,091
  4. Step 4: Simplify right side
    2,389,094x = 27,020,150,044,281
  5. Step 5: Solve for x
    x = 27,020,150,044,281/2,389,094
  6. Step 6: Final answer
    x = 11,309,789.42

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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.