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Finding the Third Proportional to 694,490.25 and 1,043,584.13

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Solution

The third proportional to 694,490.25 and 1,043,584.13 is: 1,568,154.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,490.25 : 1,043,584.13 = 1,043,584.13 : x
  2. Step 2: Convert to fraction form
    694,490.25/1,043,584.13 = 1,043,584.13/x
  3. Step 3: Cross multiply
    694,490.25x = 1,043,584.13 × 1,043,584.13
  4. Step 4: Simplify right side
    694,490.25x = 1,089,067,825,952.02
  5. Step 5: Solve for x
    x = 1,089,067,825,952.02/694,490.25
  6. Step 6: Final answer
    x = 1,568,154.23

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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.