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Finding the Third Proportional to 632,579.63 and 1,366,196.63

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Solution

The third proportional to 632,579.63 and 1,366,196.63 is: 2,950,605.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,579.63 : 1,366,196.63 = 1,366,196.63 : x
  2. Step 2: Convert to fraction form
    632,579.63/1,366,196.63 = 1,366,196.63/x
  3. Step 3: Cross multiply
    632,579.63x = 1,366,196.63 × 1,366,196.63
  4. Step 4: Simplify right side
    632,579.63x = 1,866,493,218,161.39
  5. Step 5: Solve for x
    x = 1,866,493,218,161.39/632,579.63
  6. Step 6: Final answer
    x = 2,950,605.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.