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Finding the Third Proportional to 2,479,785 and 5,257,164

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Solution

The third proportional to 2,479,785 and 5,257,164 is: 11,145,229.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479,785 : 5,257,164 = 5,257,164 : x
  2. Step 2: Convert to fraction form
    2,479,785/5,257,164 = 5,257,164/x
  3. Step 3: Cross multiply
    2,479,785x = 5,257,164 × 5,257,164
  4. Step 4: Simplify right side
    2,479,785x = 27,637,773,322,896
  5. Step 5: Solve for x
    x = 27,637,773,322,896/2,479,785
  6. Step 6: Final answer
    x = 11,145,229.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.