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Finding the Third Proportional to 3,141,065 and 4,981,823

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Solution

The third proportional to 3,141,065 and 4,981,823 is: 7,901,320.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141,065 : 4,981,823 = 4,981,823 : x
  2. Step 2: Convert to fraction form
    3,141,065/4,981,823 = 4,981,823/x
  3. Step 3: Cross multiply
    3,141,065x = 4,981,823 × 4,981,823
  4. Step 4: Simplify right side
    3,141,065x = 24,818,560,403,329
  5. Step 5: Solve for x
    x = 24,818,560,403,329/3,141,065
  6. Step 6: Final answer
    x = 7,901,320.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.