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Finding the Third Proportional to 2,108,016 and 4,687,684

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Solution

The third proportional to 2,108,016 and 4,687,684 is: 10,424,200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108,016 : 4,687,684 = 4,687,684 : x
  2. Step 2: Convert to fraction form
    2,108,016/4,687,684 = 4,687,684/x
  3. Step 3: Cross multiply
    2,108,016x = 4,687,684 × 4,687,684
  4. Step 4: Simplify right side
    2,108,016x = 21,974,381,283,856
  5. Step 5: Solve for x
    x = 21,974,381,283,856/2,108,016
  6. Step 6: Final answer
    x = 10,424,200.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.