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Finding the Third Proportional to 2,016,983 and 4,369,981

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Solution

The third proportional to 2,016,983 and 4,369,981 is: 9,467,969.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016,983 : 4,369,981 = 4,369,981 : x
  2. Step 2: Convert to fraction form
    2,016,983/4,369,981 = 4,369,981/x
  3. Step 3: Cross multiply
    2,016,983x = 4,369,981 × 4,369,981
  4. Step 4: Simplify right side
    2,016,983x = 19,096,733,940,361
  5. Step 5: Solve for x
    x = 19,096,733,940,361/2,016,983
  6. Step 6: Final answer
    x = 9,467,969.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.