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Finding the Third Proportional to 1,024,546 and 2,206,916

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Solution

The third proportional to 1,024,546 and 2,206,916 is: 4,753,791.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,546 : 2,206,916 = 2,206,916 : x
  2. Step 2: Convert to fraction form
    1,024,546/2,206,916 = 2,206,916/x
  3. Step 3: Cross multiply
    1,024,546x = 2,206,916 × 2,206,916
  4. Step 4: Simplify right side
    1,024,546x = 4,870,478,231,056
  5. Step 5: Solve for x
    x = 4,870,478,231,056/1,024,546
  6. Step 6: Final answer
    x = 4,753,791.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.