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Finding the Third Proportional to 543,251,592 and 1,176,753,238

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Solution

The third proportional to 543,251,592 and 1,176,753,238 is: 2,548,999,770.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,251,592 : 1,176,753,238 = 1,176,753,238 : x
  2. Step 2: Convert to fraction form
    543,251,592/1,176,753,238 = 1,176,753,238/x
  3. Step 3: Cross multiply
    543,251,592x = 1,176,753,238 × 1,176,753,238
  4. Step 4: Simplify right side
    543,251,592x = 1,384,748,183,143,484,672
  5. Step 5: Solve for x
    x = 1,384,748,183,143,484,672/543,251,592
  6. Step 6: Final answer
    x = 2,548,999,770.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.