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Finding the Third Proportional to 741,361 and 1,618,682

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Solution

The third proportional to 741,361 and 1,618,682 is: 3,534,218.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,361 : 1,618,682 = 1,618,682 : x
  2. Step 2: Convert to fraction form
    741,361/1,618,682 = 1,618,682/x
  3. Step 3: Cross multiply
    741,361x = 1,618,682 × 1,618,682
  4. Step 4: Simplify right side
    741,361x = 2,620,131,417,124
  5. Step 5: Solve for x
    x = 2,620,131,417,124/741,361
  6. Step 6: Final answer
    x = 3,534,218.04

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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.