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Finding the Third Proportional to 396,544,292 and 858,966,856

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Solution

The third proportional to 396,544,292 and 858,966,856 is: 1,860,634,674.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,544,292 : 858,966,856 = 858,966,856 : x
  2. Step 2: Convert to fraction form
    396,544,292/858,966,856 = 858,966,856/x
  3. Step 3: Cross multiply
    396,544,292x = 858,966,856 × 858,966,856
  4. Step 4: Simplify right side
    396,544,292x = 737,824,059,706,524,672
  5. Step 5: Solve for x
    x = 737,824,059,706,524,672/396,544,292
  6. Step 6: Final answer
    x = 1,860,634,674.59

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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.