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Finding the Third Proportional to 351,893 and 829,872

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Solution

The third proportional to 351,893 and 829,872 is: 1,957,093.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,893 : 829,872 = 829,872 : x
  2. Step 2: Convert to fraction form
    351,893/829,872 = 829,872/x
  3. Step 3: Cross multiply
    351,893x = 829,872 × 829,872
  4. Step 4: Simplify right side
    351,893x = 688,687,536,384
  5. Step 5: Solve for x
    x = 688,687,536,384/351,893
  6. Step 6: Final answer
    x = 1,957,093.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.