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Finding the Third Proportional to 812,458.50 and 1,760,511

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Solution

The third proportional to 812,458.50 and 1,760,511 is: 3,814,839.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,458.50 : 1,760,511 = 1,760,511 : x
  2. Step 2: Convert to fraction form
    812,458.50/1,760,511 = 1,760,511/x
  3. Step 3: Cross multiply
    812,458.50x = 1,760,511 × 1,760,511
  4. Step 4: Simplify right side
    812,458.50x = 3,099,398,981,121
  5. Step 5: Solve for x
    x = 3,099,398,981,121/812,458.50
  6. Step 6: Final answer
    x = 3,814,839.75

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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.