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Finding the Third Proportional to 839,812 and 1,131,414

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Solution

The third proportional to 839,812 and 1,131,414 is: 1,524,266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,812 : 1,131,414 = 1,131,414 : x
  2. Step 2: Convert to fraction form
    839,812/1,131,414 = 1,131,414/x
  3. Step 3: Cross multiply
    839,812x = 1,131,414 × 1,131,414
  4. Step 4: Simplify right side
    839,812x = 1,280,097,639,396
  5. Step 5: Solve for x
    x = 1,280,097,639,396/839,812
  6. Step 6: Final answer
    x = 1,524,266.91

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.