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Finding the Third Proportional to 2,099,968 and 3,257,838

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Solution

The third proportional to 2,099,968 and 3,257,838 is: 5,054,128.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099,968 : 3,257,838 = 3,257,838 : x
  2. Step 2: Convert to fraction form
    2,099,968/3,257,838 = 3,257,838/x
  3. Step 3: Cross multiply
    2,099,968x = 3,257,838 × 3,257,838
  4. Step 4: Simplify right side
    2,099,968x = 10,613,508,434,244
  5. Step 5: Solve for x
    x = 10,613,508,434,244/2,099,968
  6. Step 6: Final answer
    x = 5,054,128.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.