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Finding the Third Proportional to 732,923 and 1,121,183

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Solution

The third proportional to 732,923 and 1,121,183 is: 1,715,120.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,923 : 1,121,183 = 1,121,183 : x
  2. Step 2: Convert to fraction form
    732,923/1,121,183 = 1,121,183/x
  3. Step 3: Cross multiply
    732,923x = 1,121,183 × 1,121,183
  4. Step 4: Simplify right side
    732,923x = 1,257,051,319,489
  5. Step 5: Solve for x
    x = 1,257,051,319,489/732,923
  6. Step 6: Final answer
    x = 1,715,120.58

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.