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Finding the Third Proportional to 772,359.05 and 1,682,026.17

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Solution

The third proportional to 772,359.05 and 1,682,026.17 is: 3,663,078.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,359.05 : 1,682,026.17 = 1,682,026.17 : x
  2. Step 2: Convert to fraction form
    772,359.05/1,682,026.17 = 1,682,026.17/x
  3. Step 3: Cross multiply
    772,359.05x = 1,682,026.17 × 1,682,026.17
  4. Step 4: Simplify right side
    772,359.05x = 2,829,212,042,872.47
  5. Step 5: Solve for x
    x = 2,829,212,042,872.47/772,359.05
  6. Step 6: Final answer
    x = 3,663,078.79

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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.