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Finding the Third Proportional to 796,364 and 1,732,698

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Solution

The third proportional to 796,364 and 1,732,698 is: 3,769,937.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,364 : 1,732,698 = 1,732,698 : x
  2. Step 2: Convert to fraction form
    796,364/1,732,698 = 1,732,698/x
  3. Step 3: Cross multiply
    796,364x = 1,732,698 × 1,732,698
  4. Step 4: Simplify right side
    796,364x = 3,002,242,359,204
  5. Step 5: Solve for x
    x = 3,002,242,359,204/796,364
  6. Step 6: Final answer
    x = 3,769,937.31

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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.