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Finding the Third Proportional to 498,147 and 1,080,966

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Solution

The third proportional to 498,147 and 1,080,966 is: 2,345,668.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,147 : 1,080,966 = 1,080,966 : x
  2. Step 2: Convert to fraction form
    498,147/1,080,966 = 1,080,966/x
  3. Step 3: Cross multiply
    498,147x = 1,080,966 × 1,080,966
  4. Step 4: Simplify right side
    498,147x = 1,168,487,493,156
  5. Step 5: Solve for x
    x = 1,168,487,493,156/498,147
  6. Step 6: Final answer
    x = 2,345,668.03

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.