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Finding the Third Proportional to 527,848 and 1,150,965

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Solution

The third proportional to 527,848 and 1,150,965 is: 2,509,662.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,848 : 1,150,965 = 1,150,965 : x
  2. Step 2: Convert to fraction form
    527,848/1,150,965 = 1,150,965/x
  3. Step 3: Cross multiply
    527,848x = 1,150,965 × 1,150,965
  4. Step 4: Simplify right side
    527,848x = 1,324,720,431,225
  5. Step 5: Solve for x
    x = 1,324,720,431,225/527,848
  6. Step 6: Final answer
    x = 2,509,662.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.