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Finding the Third Proportional to 796,242 and 1,732,449

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Solution

The third proportional to 796,242 and 1,732,449 is: 3,769,431.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,242 : 1,732,449 = 1,732,449 : x
  2. Step 2: Convert to fraction form
    796,242/1,732,449 = 1,732,449/x
  3. Step 3: Cross multiply
    796,242x = 1,732,449 × 1,732,449
  4. Step 4: Simplify right side
    796,242x = 3,001,379,537,601
  5. Step 5: Solve for x
    x = 3,001,379,537,601/796,242
  6. Step 6: Final answer
    x = 3,769,431.33

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Why These Related Problems?

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