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Finding the Third Proportional to 492,576 and 1,063,744

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Solution

The third proportional to 492,576 and 1,063,744 is: 2,297,211.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,576 : 1,063,744 = 1,063,744 : x
  2. Step 2: Convert to fraction form
    492,576/1,063,744 = 1,063,744/x
  3. Step 3: Cross multiply
    492,576x = 1,063,744 × 1,063,744
  4. Step 4: Simplify right side
    492,576x = 1,131,551,297,536
  5. Step 5: Solve for x
    x = 1,131,551,297,536/492,576
  6. Step 6: Final answer
    x = 2,297,211.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.