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Finding the Third Proportional to 389,162.25 and 854,943.75

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Solution

The third proportional to 389,162.25 and 854,943.75 is: 1,878,210.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,162.25 : 854,943.75 = 854,943.75 : x
  2. Step 2: Convert to fraction form
    389,162.25/854,943.75 = 854,943.75/x
  3. Step 3: Cross multiply
    389,162.25x = 854,943.75 × 854,943.75
  4. Step 4: Simplify right side
    389,162.25x = 730,928,815,664.06
  5. Step 5: Solve for x
    x = 730,928,815,664.06/389,162.25
  6. Step 6: Final answer
    x = 1,878,210.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.