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Finding the Third Proportional to 772,480.13 and 1,682,218.13

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Solution

The third proportional to 772,480.13 and 1,682,218.13 is: 3,663,340.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,480.13 : 1,682,218.13 = 1,682,218.13 : x
  2. Step 2: Convert to fraction form
    772,480.13/1,682,218.13 = 1,682,218.13/x
  3. Step 3: Cross multiply
    772,480.13x = 1,682,218.13 × 1,682,218.13
  4. Step 4: Simplify right side
    772,480.13x = 2,829,857,820,078.52
  5. Step 5: Solve for x
    x = 2,829,857,820,078.52/772,480.13
  6. Step 6: Final answer
    x = 3,663,340.62

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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.