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Finding the Third Proportional to 1,215,204 and 2,659,146

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Solution

The third proportional to 1,215,204 and 2,659,146 is: 5,818,823.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215,204 : 2,659,146 = 2,659,146 : x
  2. Step 2: Convert to fraction form
    1,215,204/2,659,146 = 2,659,146/x
  3. Step 3: Cross multiply
    1,215,204x = 2,659,146 × 2,659,146
  4. Step 4: Simplify right side
    1,215,204x = 7,071,057,449,316
  5. Step 5: Solve for x
    x = 7,071,057,449,316/1,215,204
  6. Step 6: Final answer
    x = 5,818,823.38

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.