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Finding the Third Proportional to 817,884 and 1,787,400

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Solution

The third proportional to 817,884 and 1,787,400 is: 3,906,175.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,884 : 1,787,400 = 1,787,400 : x
  2. Step 2: Convert to fraction form
    817,884/1,787,400 = 1,787,400/x
  3. Step 3: Cross multiply
    817,884x = 1,787,400 × 1,787,400
  4. Step 4: Simplify right side
    817,884x = 3,194,798,760,000
  5. Step 5: Solve for x
    x = 3,194,798,760,000/817,884
  6. Step 6: Final answer
    x = 3,906,175.89

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.