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Finding the Third Proportional to 351,896 and 829,860

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Solution

The third proportional to 351,896 and 829,860 is: 1,957,020.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,896 : 829,860 = 829,860 : x
  2. Step 2: Convert to fraction form
    351,896/829,860 = 829,860/x
  3. Step 3: Cross multiply
    351,896x = 829,860 × 829,860
  4. Step 4: Simplify right side
    351,896x = 688,667,619,600
  5. Step 5: Solve for x
    x = 688,667,619,600/351,896
  6. Step 6: Final answer
    x = 1,957,020.31

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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.