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Finding the Third Proportional to 2,090,652 and 2,944,197

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Solution

The third proportional to 2,090,652 and 2,944,197 is: 4,146,216.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090,652 : 2,944,197 = 2,944,197 : x
  2. Step 2: Convert to fraction form
    2,090,652/2,944,197 = 2,944,197/x
  3. Step 3: Cross multiply
    2,090,652x = 2,944,197 × 2,944,197
  4. Step 4: Simplify right side
    2,090,652x = 8,668,295,974,809
  5. Step 5: Solve for x
    x = 8,668,295,974,809/2,090,652
  6. Step 6: Final answer
    x = 4,146,216.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.