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Finding the Third Proportional to 468,640.69 and 1,023,003.42

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Solution

The third proportional to 468,640.69 and 1,023,003.42 is: 2,233,130.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,640.69 : 1,023,003.42 = 1,023,003.42 : x
  2. Step 2: Convert to fraction form
    468,640.69/1,023,003.42 = 1,023,003.42/x
  3. Step 3: Cross multiply
    468,640.69x = 1,023,003.42 × 1,023,003.42
  4. Step 4: Simplify right side
    468,640.69x = 1,046,536,001,167.96
  5. Step 5: Solve for x
    x = 1,046,536,001,167.96/468,640.69
  6. Step 6: Final answer
    x = 2,233,130.90

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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.