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Finding the Third Proportional to 2,472,800 and 5,272,224

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Solution

The third proportional to 2,472,800 and 5,272,224 is: 11,240,838.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472,800 : 5,272,224 = 5,272,224 : x
  2. Step 2: Convert to fraction form
    2,472,800/5,272,224 = 5,272,224/x
  3. Step 3: Cross multiply
    2,472,800x = 5,272,224 × 5,272,224
  4. Step 4: Simplify right side
    2,472,800x = 27,796,345,906,176
  5. Step 5: Solve for x
    x = 27,796,345,906,176/2,472,800
  6. Step 6: Final answer
    x = 11,240,838.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.