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Finding the Third Proportional to 2,224,032 and 4,855,878

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Solution

The third proportional to 2,224,032 and 4,855,878 is: 10,602,163.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224,032 : 4,855,878 = 4,855,878 : x
  2. Step 2: Convert to fraction form
    2,224,032/4,855,878 = 4,855,878/x
  3. Step 3: Cross multiply
    2,224,032x = 4,855,878 × 4,855,878
  4. Step 4: Simplify right side
    2,224,032x = 23,579,551,150,884
  5. Step 5: Solve for x
    x = 23,579,551,150,884/2,224,032
  6. Step 6: Final answer
    x = 10,602,163.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.