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Finding the Third Proportional to 523,097 and 1,108,975

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Solution

The third proportional to 523,097 and 1,108,975 is: 2,351,046.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,097 : 1,108,975 = 1,108,975 : x
  2. Step 2: Convert to fraction form
    523,097/1,108,975 = 1,108,975/x
  3. Step 3: Cross multiply
    523,097x = 1,108,975 × 1,108,975
  4. Step 4: Simplify right side
    523,097x = 1,229,825,550,625
  5. Step 5: Solve for x
    x = 1,229,825,550,625/523,097
  6. Step 6: Final answer
    x = 2,351,046.84

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.