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Finding the Third Proportional to 3,814,211 and 5,760,197

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Solution

The third proportional to 3,814,211 and 5,760,197 is: 8,699,012.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814,211 : 5,760,197 = 5,760,197 : x
  2. Step 2: Convert to fraction form
    3,814,211/5,760,197 = 5,760,197/x
  3. Step 3: Cross multiply
    3,814,211x = 5,760,197 × 5,760,197
  4. Step 4: Simplify right side
    3,814,211x = 33,179,869,478,809
  5. Step 5: Solve for x
    x = 33,179,869,478,809/3,814,211
  6. Step 6: Final answer
    x = 8,699,012.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.