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Finding the Third Proportional to 460,837.50 and 1,002,456.75

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Solution

The third proportional to 460,837.50 and 1,002,456.75 is: 2,180,637.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,837.50 : 1,002,456.75 = 1,002,456.75 : x
  2. Step 2: Convert to fraction form
    460,837.50/1,002,456.75 = 1,002,456.75/x
  3. Step 3: Cross multiply
    460,837.50x = 1,002,456.75 × 1,002,456.75
  4. Step 4: Simplify right side
    460,837.50x = 1,004,919,535,620.56
  5. Step 5: Solve for x
    x = 1,004,919,535,620.56/460,837.50
  6. Step 6: Final answer
    x = 2,180,637.50

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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.