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Finding the Third Proportional to 650,232.19 and 1,396,337.06

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Solution

The third proportional to 650,232.19 and 1,396,337.06 is: 2,998,555.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,232.19 : 1,396,337.06 = 1,396,337.06 : x
  2. Step 2: Convert to fraction form
    650,232.19/1,396,337.06 = 1,396,337.06/x
  3. Step 3: Cross multiply
    650,232.19x = 1,396,337.06 × 1,396,337.06
  4. Step 4: Simplify right side
    650,232.19x = 1,949,757,192,111.13
  5. Step 5: Solve for x
    x = 1,949,757,192,111.13/650,232.19
  6. Step 6: Final answer
    x = 2,998,555.33

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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.