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Finding the Third Proportional to 500,876 and 1,024,792

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Solution

The third proportional to 500,876 and 1,024,792 is: 2,096,723.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,876 : 1,024,792 = 1,024,792 : x
  2. Step 2: Convert to fraction form
    500,876/1,024,792 = 1,024,792/x
  3. Step 3: Cross multiply
    500,876x = 1,024,792 × 1,024,792
  4. Step 4: Simplify right side
    500,876x = 1,050,198,643,264
  5. Step 5: Solve for x
    x = 1,050,198,643,264/500,876
  6. Step 6: Final answer
    x = 2,096,723.83

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.