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Finding the Third Proportional to 1,661,477 and 2,489,442

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Solution

The third proportional to 1,661,477 and 2,489,442 is: 3,730,007.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661,477 : 2,489,442 = 2,489,442 : x
  2. Step 2: Convert to fraction form
    1,661,477/2,489,442 = 2,489,442/x
  3. Step 3: Cross multiply
    1,661,477x = 2,489,442 × 2,489,442
  4. Step 4: Simplify right side
    1,661,477x = 6,197,321,471,364
  5. Step 5: Solve for x
    x = 6,197,321,471,364/1,661,477
  6. Step 6: Final answer
    x = 3,730,007.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.