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Finding the Third Proportional to 3,141,839 and 4,835,231

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Solution

The third proportional to 3,141,839 and 4,835,231 is: 7,441,329.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141,839 : 4,835,231 = 4,835,231 : x
  2. Step 2: Convert to fraction form
    3,141,839/4,835,231 = 4,835,231/x
  3. Step 3: Cross multiply
    3,141,839x = 4,835,231 × 4,835,231
  4. Step 4: Simplify right side
    3,141,839x = 23,379,458,823,361
  5. Step 5: Solve for x
    x = 23,379,458,823,361/3,141,839
  6. Step 6: Final answer
    x = 7,441,329.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.