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Finding the Third Proportional to 351,892 and 829,850

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Solution

The third proportional to 351,892 and 829,850 is: 1,956,995.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,892 : 829,850 = 829,850 : x
  2. Step 2: Convert to fraction form
    351,892/829,850 = 829,850/x
  3. Step 3: Cross multiply
    351,892x = 829,850 × 829,850
  4. Step 4: Simplify right side
    351,892x = 688,651,022,500
  5. Step 5: Solve for x
    x = 688,651,022,500/351,892
  6. Step 6: Final answer
    x = 1,956,995.39

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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.