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Finding the Third Proportional to 1,245,664,872 and 1,751,944,302

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Solution

The third proportional to 1,245,664,872 and 1,751,944,302 is: 2,463,992,447.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245,664,872 : 1,751,944,302 = 1,751,944,302 : x
  2. Step 2: Convert to fraction form
    1,245,664,872/1,751,944,302 = 1,751,944,302/x
  3. Step 3: Cross multiply
    1,245,664,872x = 1,751,944,302 × 1,751,944,302
  4. Step 4: Simplify right side
    1,245,664,872x = 3,069,308,837,310,267,392
  5. Step 5: Solve for x
    x = 3,069,308,837,310,267,392/1,245,664,872
  6. Step 6: Final answer
    x = 2,463,992,447.97

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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.