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Finding the Third Proportional to 1,311,215 and 1,978,872

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Solution

The third proportional to 1,311,215 and 1,978,872 is: 2,986,492.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311,215 : 1,978,872 = 1,978,872 : x
  2. Step 2: Convert to fraction form
    1,311,215/1,978,872 = 1,978,872/x
  3. Step 3: Cross multiply
    1,311,215x = 1,978,872 × 1,978,872
  4. Step 4: Simplify right side
    1,311,215x = 3,915,934,392,384
  5. Step 5: Solve for x
    x = 3,915,934,392,384/1,311,215
  6. Step 6: Final answer
    x = 2,986,492.98

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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.