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Finding the Third Proportional to 523,401 and 1,150,023

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Solution

The third proportional to 523,401 and 1,150,023 is: 2,526,844.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,401 : 1,150,023 = 1,150,023 : x
  2. Step 2: Convert to fraction form
    523,401/1,150,023 = 1,150,023/x
  3. Step 3: Cross multiply
    523,401x = 1,150,023 × 1,150,023
  4. Step 4: Simplify right side
    523,401x = 1,322,552,900,529
  5. Step 5: Solve for x
    x = 1,322,552,900,529/523,401
  6. Step 6: Final answer
    x = 2,526,844.43

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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.