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Finding the Third Proportional to 2,255,664 and 4,959,936

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Solution

The third proportional to 2,255,664 and 4,959,936 is: 10,906,307.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255,664 : 4,959,936 = 4,959,936 : x
  2. Step 2: Convert to fraction form
    2,255,664/4,959,936 = 4,959,936/x
  3. Step 3: Cross multiply
    2,255,664x = 4,959,936 × 4,959,936
  4. Step 4: Simplify right side
    2,255,664x = 24,600,965,124,096
  5. Step 5: Solve for x
    x = 24,600,965,124,096/2,255,664
  6. Step 6: Final answer
    x = 10,906,307.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.