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Finding the Third Proportional to 4,471,900 and 6,321,624

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Solution

The third proportional to 4,471,900 and 6,321,624 is: 8,936,454.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471,900 : 6,321,624 = 6,321,624 : x
  2. Step 2: Convert to fraction form
    4,471,900/6,321,624 = 6,321,624/x
  3. Step 3: Cross multiply
    4,471,900x = 6,321,624 × 6,321,624
  4. Step 4: Simplify right side
    4,471,900x = 39,962,929,997,376
  5. Step 5: Solve for x
    x = 39,962,929,997,376/4,471,900
  6. Step 6: Final answer
    x = 8,936,454.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.