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Finding the Third Proportional to 523,821.94 and 1,122,351.19

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Solution

The third proportional to 523,821.94 and 1,122,351.19 is: 2,404,771.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,821.94 : 1,122,351.19 = 1,122,351.19 : x
  2. Step 2: Convert to fraction form
    523,821.94/1,122,351.19 = 1,122,351.19/x
  3. Step 3: Cross multiply
    523,821.94x = 1,122,351.19 × 1,122,351.19
  4. Step 4: Simplify right side
    523,821.94x = 1,259,672,188,082.66
  5. Step 5: Solve for x
    x = 1,259,672,188,082.66/523,821.94
  6. Step 6: Final answer
    x = 2,404,771.73

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.