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Finding the Third Proportional to 492,631.88 and 1,061,231.63

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Solution

The third proportional to 492,631.88 and 1,061,231.63 is: 2,286,113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,631.88 : 1,061,231.63 = 1,061,231.63 : x
  2. Step 2: Convert to fraction form
    492,631.88/1,061,231.63 = 1,061,231.63/x
  3. Step 3: Cross multiply
    492,631.88x = 1,061,231.63 × 1,061,231.63
  4. Step 4: Simplify right side
    492,631.88x = 1,126,212,561,900.14
  5. Step 5: Solve for x
    x = 1,126,212,561,900.14/492,631.88
  6. Step 6: Final answer
    x = 2,286,113.87

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.