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Finding the Third Proportional to 492,538 and 1,063,812

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Solution

The third proportional to 492,538 and 1,063,812 is: 2,297,682.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,538 : 1,063,812 = 1,063,812 : x
  2. Step 2: Convert to fraction form
    492,538/1,063,812 = 1,063,812/x
  3. Step 3: Cross multiply
    492,538x = 1,063,812 × 1,063,812
  4. Step 4: Simplify right side
    492,538x = 1,131,695,971,344
  5. Step 5: Solve for x
    x = 1,131,695,971,344/492,538
  6. Step 6: Final answer
    x = 2,297,682.56

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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.