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Finding the Third Proportional to 458,405 and 1,083,876

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Solution

The third proportional to 458,405 and 1,083,876 is: 2,562,771.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,405 : 1,083,876 = 1,083,876 : x
  2. Step 2: Convert to fraction form
    458,405/1,083,876 = 1,083,876/x
  3. Step 3: Cross multiply
    458,405x = 1,083,876 × 1,083,876
  4. Step 4: Simplify right side
    458,405x = 1,174,787,183,376
  5. Step 5: Solve for x
    x = 1,174,787,183,376/458,405
  6. Step 6: Final answer
    x = 2,562,771.31

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.