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Finding the Third Proportional to 1,481,684 and 2,212,766

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Solution

The third proportional to 1,481,684 and 2,212,766 is: 3,304,573.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481,684 : 2,212,766 = 2,212,766 : x
  2. Step 2: Convert to fraction form
    1,481,684/2,212,766 = 2,212,766/x
  3. Step 3: Cross multiply
    1,481,684x = 2,212,766 × 2,212,766
  4. Step 4: Simplify right side
    1,481,684x = 4,896,333,370,756
  5. Step 5: Solve for x
    x = 4,896,333,370,756/1,481,684
  6. Step 6: Final answer
    x = 3,304,573.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.