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Finding the Third Proportional to 498,815 and 1,097,275

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Solution

The third proportional to 498,815 and 1,097,275 is: 2,413,745.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,815 : 1,097,275 = 1,097,275 : x
  2. Step 2: Convert to fraction form
    498,815/1,097,275 = 1,097,275/x
  3. Step 3: Cross multiply
    498,815x = 1,097,275 × 1,097,275
  4. Step 4: Simplify right side
    498,815x = 1,204,012,425,625
  5. Step 5: Solve for x
    x = 1,204,012,425,625/498,815
  6. Step 6: Final answer
    x = 2,413,745.43

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.