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Finding the Third Proportional to 817,231 and 1,795,653

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Solution

The third proportional to 817,231 and 1,795,653 is: 3,945,481.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,231 : 1,795,653 = 1,795,653 : x
  2. Step 2: Convert to fraction form
    817,231/1,795,653 = 1,795,653/x
  3. Step 3: Cross multiply
    817,231x = 1,795,653 × 1,795,653
  4. Step 4: Simplify right side
    817,231x = 3,224,369,696,409
  5. Step 5: Solve for x
    x = 3,224,369,696,409/817,231
  6. Step 6: Final answer
    x = 3,945,481.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.