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Finding the Third Proportional to 351,821 and 829,696

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Solution

The third proportional to 351,821 and 829,696 is: 1,956,663.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,821 : 829,696 = 829,696 : x
  2. Step 2: Convert to fraction form
    351,821/829,696 = 829,696/x
  3. Step 3: Cross multiply
    351,821x = 829,696 × 829,696
  4. Step 4: Simplify right side
    351,821x = 688,395,452,416
  5. Step 5: Solve for x
    x = 688,395,452,416/351,821
  6. Step 6: Final answer
    x = 1,956,663.91

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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.