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Finding the Third Proportional to 2,030,877 and 4,324,922

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Solution

The third proportional to 2,030,877 and 4,324,922 is: 9,210,282.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030,877 : 4,324,922 = 4,324,922 : x
  2. Step 2: Convert to fraction form
    2,030,877/4,324,922 = 4,324,922/x
  3. Step 3: Cross multiply
    2,030,877x = 4,324,922 × 4,324,922
  4. Step 4: Simplify right side
    2,030,877x = 18,704,950,306,084
  5. Step 5: Solve for x
    x = 18,704,950,306,084/2,030,877
  6. Step 6: Final answer
    x = 9,210,282.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.