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Finding the Third Proportional to 2,761,960 and 5,715,584

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Solution

The third proportional to 2,761,960 and 5,715,584 is: 11,827,796.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761,960 : 5,715,584 = 5,715,584 : x
  2. Step 2: Convert to fraction form
    2,761,960/5,715,584 = 5,715,584/x
  3. Step 3: Cross multiply
    2,761,960x = 5,715,584 × 5,715,584
  4. Step 4: Simplify right side
    2,761,960x = 32,667,900,461,056
  5. Step 5: Solve for x
    x = 32,667,900,461,056/2,761,960
  6. Step 6: Final answer
    x = 11,827,796.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.