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Finding the Third Proportional to 694,233 and 1,108,603

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Solution

The third proportional to 694,233 and 1,108,603 is: 1,770,299.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,233 : 1,108,603 = 1,108,603 : x
  2. Step 2: Convert to fraction form
    694,233/1,108,603 = 1,108,603/x
  3. Step 3: Cross multiply
    694,233x = 1,108,603 × 1,108,603
  4. Step 4: Simplify right side
    694,233x = 1,229,000,611,609
  5. Step 5: Solve for x
    x = 1,229,000,611,609/694,233
  6. Step 6: Final answer
    x = 1,770,299.90

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.