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Finding the Third Proportional to 548,080,684 and 1,293,372,276

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Solution

The third proportional to 548,080,684 and 1,293,372,276 is: 3,052,126,982.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,080,684 : 1,293,372,276 = 1,293,372,276 : x
  2. Step 2: Convert to fraction form
    548,080,684/1,293,372,276 = 1,293,372,276/x
  3. Step 3: Cross multiply
    548,080,684x = 1,293,372,276 × 1,293,372,276
  4. Step 4: Simplify right side
    548,080,684x = 1,672,811,844,325,420,288
  5. Step 5: Solve for x
    x = 1,672,811,844,325,420,288/548,080,684
  6. Step 6: Final answer
    x = 3,052,126,982.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.