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Finding the Third Proportional to 2,021,204 and 3,052,864

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Solution

The third proportional to 2,021,204 and 3,052,864 is: 4,611,102.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021,204 : 3,052,864 = 3,052,864 : x
  2. Step 2: Convert to fraction form
    2,021,204/3,052,864 = 3,052,864/x
  3. Step 3: Cross multiply
    2,021,204x = 3,052,864 × 3,052,864
  4. Step 4: Simplify right side
    2,021,204x = 9,319,978,602,496
  5. Step 5: Solve for x
    x = 9,319,978,602,496/2,021,204
  6. Step 6: Final answer
    x = 4,611,102.39

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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.