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Finding the Third Proportional to 2,169,474 and 4,518,512

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Solution

The third proportional to 2,169,474 and 4,518,512 is: 9,411,014.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169,474 : 4,518,512 = 4,518,512 : x
  2. Step 2: Convert to fraction form
    2,169,474/4,518,512 = 4,518,512/x
  3. Step 3: Cross multiply
    2,169,474x = 4,518,512 × 4,518,512
  4. Step 4: Simplify right side
    2,169,474x = 20,416,950,694,144
  5. Step 5: Solve for x
    x = 20,416,950,694,144/2,169,474
  6. Step 6: Final answer
    x = 9,411,014.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.