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Finding the Third Proportional to 351,866 and 829,809

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Solution

The third proportional to 351,866 and 829,809 is: 1,956,946.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,866 : 829,809 = 829,809 : x
  2. Step 2: Convert to fraction form
    351,866/829,809 = 829,809/x
  3. Step 3: Cross multiply
    351,866x = 829,809 × 829,809
  4. Step 4: Simplify right side
    351,866x = 688,582,976,481
  5. Step 5: Solve for x
    x = 688,582,976,481/351,866
  6. Step 6: Final answer
    x = 1,956,946.61

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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.