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Finding the Third Proportional to 793,530 and 1,206,903

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Solution

The third proportional to 793,530 and 1,206,903 is: 1,835,614.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    793,530 : 1,206,903 = 1,206,903 : x
  2. Step 2: Convert to fraction form
    793,530/1,206,903 = 1,206,903/x
  3. Step 3: Cross multiply
    793,530x = 1,206,903 × 1,206,903
  4. Step 4: Simplify right side
    793,530x = 1,456,614,851,409
  5. Step 5: Solve for x
    x = 1,456,614,851,409/793,530
  6. Step 6: Final answer
    x = 1,835,614.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.