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Finding the Third Proportional to 847,017 and 1,861,956

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Solution

The third proportional to 847,017 and 1,861,956 is: 4,093,046.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,017 : 1,861,956 = 1,861,956 : x
  2. Step 2: Convert to fraction form
    847,017/1,861,956 = 1,861,956/x
  3. Step 3: Cross multiply
    847,017x = 1,861,956 × 1,861,956
  4. Step 4: Simplify right side
    847,017x = 3,466,880,145,936
  5. Step 5: Solve for x
    x = 3,466,880,145,936/847,017
  6. Step 6: Final answer
    x = 4,093,046.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.