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Finding the Third Proportional to 1,277,100 and 2,747,934

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Solution

The third proportional to 1,277,100 and 2,747,934 is: 5,912,725.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,100 : 2,747,934 = 2,747,934 : x
  2. Step 2: Convert to fraction form
    1,277,100/2,747,934 = 2,747,934/x
  3. Step 3: Cross multiply
    1,277,100x = 2,747,934 × 2,747,934
  4. Step 4: Simplify right side
    1,277,100x = 7,551,141,268,356
  5. Step 5: Solve for x
    x = 7,551,141,268,356/1,277,100
  6. Step 6: Final answer
    x = 5,912,725.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.