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Finding the Third Proportional to 351,856 and 829,762

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Solution

The third proportional to 351,856 and 829,762 is: 1,956,780.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,856 : 829,762 = 829,762 : x
  2. Step 2: Convert to fraction form
    351,856/829,762 = 829,762/x
  3. Step 3: Cross multiply
    351,856x = 829,762 × 829,762
  4. Step 4: Simplify right side
    351,856x = 688,504,976,644
  5. Step 5: Solve for x
    x = 688,504,976,644/351,856
  6. Step 6: Final answer
    x = 1,956,780.55

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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.