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Finding the Third Proportional to 741,361 and 1,618,680

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Solution

The third proportional to 741,361 and 1,618,680 is: 3,534,209.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,361 : 1,618,680 = 1,618,680 : x
  2. Step 2: Convert to fraction form
    741,361/1,618,680 = 1,618,680/x
  3. Step 3: Cross multiply
    741,361x = 1,618,680 × 1,618,680
  4. Step 4: Simplify right side
    741,361x = 2,620,124,942,400
  5. Step 5: Solve for x
    x = 2,620,124,942,400/741,361
  6. Step 6: Final answer
    x = 3,534,209.30

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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.