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Finding the Third Proportional to 379,917 and 829,818

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Solution

The third proportional to 379,917 and 829,818 is: 1,812,495.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,917 : 829,818 = 829,818 : x
  2. Step 2: Convert to fraction form
    379,917/829,818 = 829,818/x
  3. Step 3: Cross multiply
    379,917x = 829,818 × 829,818
  4. Step 4: Simplify right side
    379,917x = 688,597,913,124
  5. Step 5: Solve for x
    x = 688,597,913,124/379,917
  6. Step 6: Final answer
    x = 1,812,495.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.