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Finding the Third Proportional to 2,558,936 and 5,472,148

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Solution

The third proportional to 2,558,936 and 5,472,148 is: 11,701,896.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558,936 : 5,472,148 = 5,472,148 : x
  2. Step 2: Convert to fraction form
    2,558,936/5,472,148 = 5,472,148/x
  3. Step 3: Cross multiply
    2,558,936x = 5,472,148 × 5,472,148
  4. Step 4: Simplify right side
    2,558,936x = 29,944,403,733,904
  5. Step 5: Solve for x
    x = 29,944,403,733,904/2,558,936
  6. Step 6: Final answer
    x = 11,701,896.31

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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.