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Finding the Third Proportional to 2,708,240 and 5,789,728

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Solution

The third proportional to 2,708,240 and 5,789,728 is: 12,377,392.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708,240 : 5,789,728 = 5,789,728 : x
  2. Step 2: Convert to fraction form
    2,708,240/5,789,728 = 5,789,728/x
  3. Step 3: Cross multiply
    2,708,240x = 5,789,728 × 5,789,728
  4. Step 4: Simplify right side
    2,708,240x = 33,520,950,313,984
  5. Step 5: Solve for x
    x = 33,520,950,313,984/2,708,240
  6. Step 6: Final answer
    x = 12,377,392.81

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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.