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Finding the Third Proportional to 2,271,864 and 4,846,830

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Solution

The third proportional to 2,271,864 and 4,846,830 is: 10,340,302.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271,864 : 4,846,830 = 4,846,830 : x
  2. Step 2: Convert to fraction form
    2,271,864/4,846,830 = 4,846,830/x
  3. Step 3: Cross multiply
    2,271,864x = 4,846,830 × 4,846,830
  4. Step 4: Simplify right side
    2,271,864x = 23,491,761,048,900
  5. Step 5: Solve for x
    x = 23,491,761,048,900/2,271,864
  6. Step 6: Final answer
    x = 10,340,302.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.