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Finding the Third Proportional to 774,418.22 and 1,677,520.13

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Solution

The third proportional to 774,418.22 and 1,677,520.13 is: 3,633,790.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,418.22 : 1,677,520.13 = 1,677,520.13 : x
  2. Step 2: Convert to fraction form
    774,418.22/1,677,520.13 = 1,677,520.13/x
  3. Step 3: Cross multiply
    774,418.22x = 1,677,520.13 × 1,677,520.13
  4. Step 4: Simplify right side
    774,418.22x = 2,814,073,769,780.02
  5. Step 5: Solve for x
    x = 2,814,073,769,780.02/774,418.22
  6. Step 6: Final answer
    x = 3,633,790.76

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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.