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Finding the Third Proportional to 694,326.94 and 1,082,086.59

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Solution

The third proportional to 694,326.94 and 1,082,086.59 is: 1,686,397.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,326.94 : 1,082,086.59 = 1,082,086.59 : x
  2. Step 2: Convert to fraction form
    694,326.94/1,082,086.59 = 1,082,086.59/x
  3. Step 3: Cross multiply
    694,326.94x = 1,082,086.59 × 1,082,086.59
  4. Step 4: Simplify right side
    694,326.94x = 1,170,911,396,373.48
  5. Step 5: Solve for x
    x = 1,170,911,396,373.48/694,326.94
  6. Step 6: Final answer
    x = 1,686,397.77

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.