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Finding the Third Proportional to 1,086,268.25 and 1,643,383.50

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Solution

The third proportional to 1,086,268.25 and 1,643,383.50 is: 2,486,226.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086,268.25 : 1,643,383.50 = 1,643,383.50 : x
  2. Step 2: Convert to fraction form
    1,086,268.25/1,643,383.50 = 1,643,383.50/x
  3. Step 3: Cross multiply
    1,086,268.25x = 1,643,383.50 × 1,643,383.50
  4. Step 4: Simplify right side
    1,086,268.25x = 2,700,709,328,072.25
  5. Step 5: Solve for x
    x = 2,700,709,328,072.25/1,086,268.25
  6. Step 6: Final answer
    x = 2,486,226.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.