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Finding the Third Proportional to 629,217 and 943,893

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Solution

The third proportional to 629,217 and 943,893 is: 1,415,940.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,217 : 943,893 = 943,893 : x
  2. Step 2: Convert to fraction form
    629,217/943,893 = 943,893/x
  3. Step 3: Cross multiply
    629,217x = 943,893 × 943,893
  4. Step 4: Simplify right side
    629,217x = 890,933,995,449
  5. Step 5: Solve for x
    x = 890,933,995,449/629,217
  6. Step 6: Final answer
    x = 1,415,940.76

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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.