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Finding the Third Proportional to 498,928 and 1,097,504

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Solution

The third proportional to 498,928 and 1,097,504 is: 2,414,206.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,928 : 1,097,504 = 1,097,504 : x
  2. Step 2: Convert to fraction form
    498,928/1,097,504 = 1,097,504/x
  3. Step 3: Cross multiply
    498,928x = 1,097,504 × 1,097,504
  4. Step 4: Simplify right side
    498,928x = 1,204,515,030,016
  5. Step 5: Solve for x
    x = 1,204,515,030,016/498,928
  6. Step 6: Final answer
    x = 2,414,206.12

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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.