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Finding the Third Proportional to 796,367 and 1,732,701

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Solution

The third proportional to 796,367 and 1,732,701 is: 3,769,936.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,367 : 1,732,701 = 1,732,701 : x
  2. Step 2: Convert to fraction form
    796,367/1,732,701 = 1,732,701/x
  3. Step 3: Cross multiply
    796,367x = 1,732,701 × 1,732,701
  4. Step 4: Simplify right side
    796,367x = 3,002,252,755,401
  5. Step 5: Solve for x
    x = 3,002,252,755,401/796,367
  6. Step 6: Final answer
    x = 3,769,936.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.