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Finding the Third Proportional to 811,662.75 and 1,285,177.50

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Solution

The third proportional to 811,662.75 and 1,285,177.50 is: 2,034,935.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,662.75 : 1,285,177.50 = 1,285,177.50 : x
  2. Step 2: Convert to fraction form
    811,662.75/1,285,177.50 = 1,285,177.50/x
  3. Step 3: Cross multiply
    811,662.75x = 1,285,177.50 × 1,285,177.50
  4. Step 4: Simplify right side
    811,662.75x = 1,651,681,206,506.25
  5. Step 5: Solve for x
    x = 1,651,681,206,506.25/811,662.75
  6. Step 6: Final answer
    x = 2,034,935.33

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.