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Finding the Third Proportional to 852,717 and 1,834,466

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Solution

The third proportional to 852,717 and 1,834,466 is: 3,946,520.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,717 : 1,834,466 = 1,834,466 : x
  2. Step 2: Convert to fraction form
    852,717/1,834,466 = 1,834,466/x
  3. Step 3: Cross multiply
    852,717x = 1,834,466 × 1,834,466
  4. Step 4: Simplify right side
    852,717x = 3,365,265,505,156
  5. Step 5: Solve for x
    x = 3,365,265,505,156/852,717
  6. Step 6: Final answer
    x = 3,946,520.95

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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.