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Finding the Third Proportional to 494,369,860 and 673,247,367

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Solution

The third proportional to 494,369,860 and 673,247,367 is: 916,847,999.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,369,860 : 673,247,367 = 673,247,367 : x
  2. Step 2: Convert to fraction form
    494,369,860/673,247,367 = 673,247,367/x
  3. Step 3: Cross multiply
    494,369,860x = 673,247,367 × 673,247,367
  4. Step 4: Simplify right side
    494,369,860x = 453,262,017,172,432,704
  5. Step 5: Solve for x
    x = 453,262,017,172,432,704/494,369,860
  6. Step 6: Final answer
    x = 916,847,999.54

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.