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Finding the Third Proportional to 734,904 and 1,040,172

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Solution

The third proportional to 734,904 and 1,040,172 is: 1,472,243.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,904 : 1,040,172 = 1,040,172 : x
  2. Step 2: Convert to fraction form
    734,904/1,040,172 = 1,040,172/x
  3. Step 3: Cross multiply
    734,904x = 1,040,172 × 1,040,172
  4. Step 4: Simplify right side
    734,904x = 1,081,957,789,584
  5. Step 5: Solve for x
    x = 1,081,957,789,584/734,904
  6. Step 6: Final answer
    x = 1,472,243.71

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.