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Finding the Third Proportional to 1,728,939 and 2,777,934

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Solution

The third proportional to 1,728,939 and 2,777,934 is: 4,463,383.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728,939 : 2,777,934 = 2,777,934 : x
  2. Step 2: Convert to fraction form
    1,728,939/2,777,934 = 2,777,934/x
  3. Step 3: Cross multiply
    1,728,939x = 2,777,934 × 2,777,934
  4. Step 4: Simplify right side
    1,728,939x = 7,716,917,308,356
  5. Step 5: Solve for x
    x = 7,716,917,308,356/1,728,939
  6. Step 6: Final answer
    x = 4,463,383.21

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.