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Finding the Third Proportional to 2,049,756 and 4,745,286

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Solution

The third proportional to 2,049,756 and 4,745,286 is: 10,985,570.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049,756 : 4,745,286 = 4,745,286 : x
  2. Step 2: Convert to fraction form
    2,049,756/4,745,286 = 4,745,286/x
  3. Step 3: Cross multiply
    2,049,756x = 4,745,286 × 4,745,286
  4. Step 4: Simplify right side
    2,049,756x = 22,517,739,221,796
  5. Step 5: Solve for x
    x = 22,517,739,221,796/2,049,756
  6. Step 6: Final answer
    x = 10,985,570.59

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.