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Finding the Third Proportional to 825,936 and 1,696,336

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Solution

The third proportional to 825,936 and 1,696,336 is: 3,483,993.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,936 : 1,696,336 = 1,696,336 : x
  2. Step 2: Convert to fraction form
    825,936/1,696,336 = 1,696,336/x
  3. Step 3: Cross multiply
    825,936x = 1,696,336 × 1,696,336
  4. Step 4: Simplify right side
    825,936x = 2,877,555,824,896
  5. Step 5: Solve for x
    x = 2,877,555,824,896/825,936
  6. Step 6: Final answer
    x = 3,483,993.71

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.