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Finding the Third Proportional to 947,617 and 2,052,698

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Solution

The third proportional to 947,617 and 2,052,698 is: 4,446,489.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,617 : 2,052,698 = 2,052,698 : x
  2. Step 2: Convert to fraction form
    947,617/2,052,698 = 2,052,698/x
  3. Step 3: Cross multiply
    947,617x = 2,052,698 × 2,052,698
  4. Step 4: Simplify right side
    947,617x = 4,213,569,079,204
  5. Step 5: Solve for x
    x = 4,213,569,079,204/947,617
  6. Step 6: Final answer
    x = 4,446,489.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.