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Finding the Third Proportional to 835,477 and 1,766,198

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Solution

The third proportional to 835,477 and 1,766,198 is: 3,733,741.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,477 : 1,766,198 = 1,766,198 : x
  2. Step 2: Convert to fraction form
    835,477/1,766,198 = 1,766,198/x
  3. Step 3: Cross multiply
    835,477x = 1,766,198 × 1,766,198
  4. Step 4: Simplify right side
    835,477x = 3,119,455,375,204
  5. Step 5: Solve for x
    x = 3,119,455,375,204/835,477
  6. Step 6: Final answer
    x = 3,733,741.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.