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Finding the Third Proportional to 852,696 and 1,834,425

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Solution

The third proportional to 852,696 and 1,834,425 is: 3,946,441.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,696 : 1,834,425 = 1,834,425 : x
  2. Step 2: Convert to fraction form
    852,696/1,834,425 = 1,834,425/x
  3. Step 3: Cross multiply
    852,696x = 1,834,425 × 1,834,425
  4. Step 4: Simplify right side
    852,696x = 3,365,115,080,625
  5. Step 5: Solve for x
    x = 3,365,115,080,625/852,696
  6. Step 6: Final answer
    x = 3,946,441.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.