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Finding the Third Proportional to 793,739.25 and 1,192,397.20

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Solution

The third proportional to 793,739.25 and 1,192,397.20 is: 1,791,282.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    793,739.25 : 1,192,397.20 = 1,192,397.20 : x
  2. Step 2: Convert to fraction form
    793,739.25/1,192,397.20 = 1,192,397.20/x
  3. Step 3: Cross multiply
    793,739.25x = 1,192,397.20 × 1,192,397.20
  4. Step 4: Simplify right side
    793,739.25x = 1,421,811,090,020.32
  5. Step 5: Solve for x
    x = 1,421,811,090,020.32/793,739.25
  6. Step 6: Final answer
    x = 1,791,282.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.