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Finding the Third Proportional to 694,497 and 1,043,593.50

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Solution

The third proportional to 694,497 and 1,043,593.50 is: 1,568,167.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,497 : 1,043,593.50 = 1,043,593.50 : x
  2. Step 2: Convert to fraction form
    694,497/1,043,593.50 = 1,043,593.50/x
  3. Step 3: Cross multiply
    694,497x = 1,043,593.50 × 1,043,593.50
  4. Step 4: Simplify right side
    694,497x = 1,089,087,393,242.25
  5. Step 5: Solve for x
    x = 1,089,087,393,242.25/694,497
  6. Step 6: Final answer
    x = 1,568,167.17

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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.