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Finding the Third Proportional to 796,364.75 and 1,732,696.75

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Solution

The third proportional to 796,364.75 and 1,732,696.75 is: 3,769,928.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,364.75 : 1,732,696.75 = 1,732,696.75 : x
  2. Step 2: Convert to fraction form
    796,364.75/1,732,696.75 = 1,732,696.75/x
  3. Step 3: Cross multiply
    796,364.75x = 1,732,696.75 × 1,732,696.75
  4. Step 4: Simplify right side
    796,364.75x = 3,002,238,027,460.56
  5. Step 5: Solve for x
    x = 3,002,238,027,460.56/796,364.75
  6. Step 6: Final answer
    x = 3,769,928.32

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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.