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Finding the Third Proportional to 2,051,163 and 4,233,519

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Solution

The third proportional to 2,051,163 and 4,233,519 is: 8,737,815.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,163 : 4,233,519 = 4,233,519 : x
  2. Step 2: Convert to fraction form
    2,051,163/4,233,519 = 4,233,519/x
  3. Step 3: Cross multiply
    2,051,163x = 4,233,519 × 4,233,519
  4. Step 4: Simplify right side
    2,051,163x = 17,922,683,123,361
  5. Step 5: Solve for x
    x = 17,922,683,123,361/2,051,163
  6. Step 6: Final answer
    x = 8,737,815.14

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.