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Finding the Third Proportional to 828,578 and 1,795,396

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Solution

The third proportional to 828,578 and 1,795,396 is: 3,890,335.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,578 : 1,795,396 = 1,795,396 : x
  2. Step 2: Convert to fraction form
    828,578/1,795,396 = 1,795,396/x
  3. Step 3: Cross multiply
    828,578x = 1,795,396 × 1,795,396
  4. Step 4: Simplify right side
    828,578x = 3,223,446,796,816
  5. Step 5: Solve for x
    x = 3,223,446,796,816/828,578
  6. Step 6: Final answer
    x = 3,890,335.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.