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Finding the Third Proportional to 2,697,648 and 5,777,892

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Solution

The third proportional to 2,697,648 and 5,777,892 is: 12,375,237.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697,648 : 5,777,892 = 5,777,892 : x
  2. Step 2: Convert to fraction form
    2,697,648/5,777,892 = 5,777,892/x
  3. Step 3: Cross multiply
    2,697,648x = 5,777,892 × 5,777,892
  4. Step 4: Simplify right side
    2,697,648x = 33,384,035,963,664
  5. Step 5: Solve for x
    x = 33,384,035,963,664/2,697,648
  6. Step 6: Final answer
    x = 12,375,237.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.