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Finding the Third Proportional to 468,674 and 1,022,116

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Solution

The third proportional to 468,674 and 1,022,116 is: 2,229,099.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,674 : 1,022,116 = 1,022,116 : x
  2. Step 2: Convert to fraction form
    468,674/1,022,116 = 1,022,116/x
  3. Step 3: Cross multiply
    468,674x = 1,022,116 × 1,022,116
  4. Step 4: Simplify right side
    468,674x = 1,044,721,117,456
  5. Step 5: Solve for x
    x = 1,044,721,117,456/468,674
  6. Step 6: Final answer
    x = 2,229,099.80

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.