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Finding the Third Proportional to 2,166,564 and 4,694,712

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Solution

The third proportional to 2,166,564 and 4,694,712 is: 10,172,937.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166,564 : 4,694,712 = 4,694,712 : x
  2. Step 2: Convert to fraction form
    2,166,564/4,694,712 = 4,694,712/x
  3. Step 3: Cross multiply
    2,166,564x = 4,694,712 × 4,694,712
  4. Step 4: Simplify right side
    2,166,564x = 22,040,320,762,944
  5. Step 5: Solve for x
    x = 22,040,320,762,944/2,166,564
  6. Step 6: Final answer
    x = 10,172,937.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.