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Finding the Third Proportional to 403,840.13 and 881,025.75

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Solution

The third proportional to 403,840.13 and 881,025.75 is: 1,922,063.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,840.13 : 881,025.75 = 881,025.75 : x
  2. Step 2: Convert to fraction form
    403,840.13/881,025.75 = 881,025.75/x
  3. Step 3: Cross multiply
    403,840.13x = 881,025.75 × 881,025.75
  4. Step 4: Simplify right side
    403,840.13x = 776,206,372,163.06
  5. Step 5: Solve for x
    x = 776,206,372,163.06/403,840.13
  6. Step 6: Final answer
    x = 1,922,063.52

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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.