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Finding the Third Proportional to 741,193.50 and 1,617,927

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Solution

The third proportional to 741,193.50 and 1,617,927 is: 3,531,719.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,193.50 : 1,617,927 = 1,617,927 : x
  2. Step 2: Convert to fraction form
    741,193.50/1,617,927 = 1,617,927/x
  3. Step 3: Cross multiply
    741,193.50x = 1,617,927 × 1,617,927
  4. Step 4: Simplify right side
    741,193.50x = 2,617,687,777,329
  5. Step 5: Solve for x
    x = 2,617,687,777,329/741,193.50
  6. Step 6: Final answer
    x = 3,531,719.82

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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.