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Finding the Third Proportional to 494,369,857 and 673,247,362

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Solution

The third proportional to 494,369,857 and 673,247,362 is: 916,847,991.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,369,857 : 673,247,362 = 673,247,362 : x
  2. Step 2: Convert to fraction form
    494,369,857/673,247,362 = 673,247,362/x
  3. Step 3: Cross multiply
    494,369,857x = 673,247,362 × 673,247,362
  4. Step 4: Simplify right side
    494,369,857x = 453,262,010,439,959,040
  5. Step 5: Solve for x
    x = 453,262,010,439,959,040/494,369,857
  6. Step 6: Final answer
    x = 916,847,991.48

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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.