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Finding the Third Proportional to 2,444,284 and 5,261,314

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Solution

The third proportional to 2,444,284 and 5,261,314 is: 11,324,962.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444,284 : 5,261,314 = 5,261,314 : x
  2. Step 2: Convert to fraction form
    2,444,284/5,261,314 = 5,261,314/x
  3. Step 3: Cross multiply
    2,444,284x = 5,261,314 × 5,261,314
  4. Step 4: Simplify right side
    2,444,284x = 27,681,425,006,596
  5. Step 5: Solve for x
    x = 27,681,425,006,596/2,444,284
  6. Step 6: Final answer
    x = 11,324,962.65

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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.