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Finding the Third Proportional to 725,957,512 and 1,115,848,716

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Solution

The third proportional to 725,957,512 and 1,115,848,716 is: 1,715,139,435.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,957,512 : 1,115,848,716 = 1,115,848,716 : x
  2. Step 2: Convert to fraction form
    725,957,512/1,115,848,716 = 1,115,848,716/x
  3. Step 3: Cross multiply
    725,957,512x = 1,115,848,716 × 1,115,848,716
  4. Step 4: Simplify right side
    725,957,512x = 1,245,118,356,998,848,768
  5. Step 5: Solve for x
    x = 1,245,118,356,998,848,768/725,957,512
  6. Step 6: Final answer
    x = 1,715,139,435.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.