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Finding the Third Proportional to 902,826 and 1,198,476

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Solution

The third proportional to 902,826 and 1,198,476 is: 1,590,943.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,826 : 1,198,476 = 1,198,476 : x
  2. Step 2: Convert to fraction form
    902,826/1,198,476 = 1,198,476/x
  3. Step 3: Cross multiply
    902,826x = 1,198,476 × 1,198,476
  4. Step 4: Simplify right side
    902,826x = 1,436,344,722,576
  5. Step 5: Solve for x
    x = 1,436,344,722,576/902,826
  6. Step 6: Final answer
    x = 1,590,943.02

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.