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Finding the Third Proportional to 523,093.75 and 1,108,969.25

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Solution

The third proportional to 523,093.75 and 1,108,969.25 is: 2,351,037.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,093.75 : 1,108,969.25 = 1,108,969.25 : x
  2. Step 2: Convert to fraction form
    523,093.75/1,108,969.25 = 1,108,969.25/x
  3. Step 3: Cross multiply
    523,093.75x = 1,108,969.25 × 1,108,969.25
  4. Step 4: Simplify right side
    523,093.75x = 1,229,812,797,445.56
  5. Step 5: Solve for x
    x = 1,229,812,797,445.56/523,093.75
  6. Step 6: Final answer
    x = 2,351,037.07

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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.