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Finding the Third Proportional to 351,912 and 829,892

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Solution

The third proportional to 351,912 and 829,892 is: 1,957,082.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,912 : 829,892 = 829,892 : x
  2. Step 2: Convert to fraction form
    351,912/829,892 = 829,892/x
  3. Step 3: Cross multiply
    351,912x = 829,892 × 829,892
  4. Step 4: Simplify right side
    351,912x = 688,720,731,664
  5. Step 5: Solve for x
    x = 688,720,731,664/351,912
  6. Step 6: Final answer
    x = 1,957,082.26

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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.