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Finding the Third Proportional to 2,431,424 and 5,628,314

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Solution

The third proportional to 2,431,424 and 5,628,314 is: 13,028,545.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431,424 : 5,628,314 = 5,628,314 : x
  2. Step 2: Convert to fraction form
    2,431,424/5,628,314 = 5,628,314/x
  3. Step 3: Cross multiply
    2,431,424x = 5,628,314 × 5,628,314
  4. Step 4: Simplify right side
    2,431,424x = 31,677,918,482,596
  5. Step 5: Solve for x
    x = 31,677,918,482,596/2,431,424
  6. Step 6: Final answer
    x = 13,028,545.61

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.