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Finding the Third Proportional to 856,283 and 1,855,198

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Solution

The third proportional to 856,283 and 1,855,198 is: 4,019,418.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,283 : 1,855,198 = 1,855,198 : x
  2. Step 2: Convert to fraction form
    856,283/1,855,198 = 1,855,198/x
  3. Step 3: Cross multiply
    856,283x = 1,855,198 × 1,855,198
  4. Step 4: Simplify right side
    856,283x = 3,441,759,619,204
  5. Step 5: Solve for x
    x = 3,441,759,619,204/856,283
  6. Step 6: Final answer
    x = 4,019,418.37

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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.