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Finding the Third Proportional to 768,722.06 and 1,682,238.38

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Solution

The third proportional to 768,722.06 and 1,682,238.38 is: 3,681,338.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,722.06 : 1,682,238.38 = 1,682,238.38 : x
  2. Step 2: Convert to fraction form
    768,722.06/1,682,238.38 = 1,682,238.38/x
  3. Step 3: Cross multiply
    768,722.06x = 1,682,238.38 × 1,682,238.38
  4. Step 4: Simplify right side
    768,722.06x = 2,829,925,950,322.64
  5. Step 5: Solve for x
    x = 2,829,925,950,322.64/768,722.06
  6. Step 6: Final answer
    x = 3,681,338.27

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.