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Finding the Third Proportional to 1,200,116 and 2,560,936

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Solution

The third proportional to 1,200,116 and 2,560,936 is: 5,464,799.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,116 : 2,560,936 = 2,560,936 : x
  2. Step 2: Convert to fraction form
    1,200,116/2,560,936 = 2,560,936/x
  3. Step 3: Cross multiply
    1,200,116x = 2,560,936 × 2,560,936
  4. Step 4: Simplify right side
    1,200,116x = 6,558,393,196,096
  5. Step 5: Solve for x
    x = 6,558,393,196,096/1,200,116
  6. Step 6: Final answer
    x = 5,464,799.40

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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.