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Finding the Third Proportional to 821,718 and 1,794,684

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Solution

The third proportional to 821,718 and 1,794,684 is: 3,919,703.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,718 : 1,794,684 = 1,794,684 : x
  2. Step 2: Convert to fraction form
    821,718/1,794,684 = 1,794,684/x
  3. Step 3: Cross multiply
    821,718x = 1,794,684 × 1,794,684
  4. Step 4: Simplify right side
    821,718x = 3,220,890,659,856
  5. Step 5: Solve for x
    x = 3,220,890,659,856/821,718
  6. Step 6: Final answer
    x = 3,919,703.18

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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.