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Finding the Third Proportional to 800,498.25 and 1,756,738.13

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Solution

The third proportional to 800,498.25 and 1,756,738.13 is: 3,855,259.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,498.25 : 1,756,738.13 = 1,756,738.13 : x
  2. Step 2: Convert to fraction form
    800,498.25/1,756,738.13 = 1,756,738.13/x
  3. Step 3: Cross multiply
    800,498.25x = 1,756,738.13 × 1,756,738.13
  4. Step 4: Simplify right side
    800,498.25x = 3,086,128,839,828.52
  5. Step 5: Solve for x
    x = 3,086,128,839,828.52/800,498.25
  6. Step 6: Final answer
    x = 3,855,259.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.