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Finding the Third Proportional to 741,446 and 1,618,810

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Solution

The third proportional to 741,446 and 1,618,810 is: 3,534,371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,446 : 1,618,810 = 1,618,810 : x
  2. Step 2: Convert to fraction form
    741,446/1,618,810 = 1,618,810/x
  3. Step 3: Cross multiply
    741,446x = 1,618,810 × 1,618,810
  4. Step 4: Simplify right side
    741,446x = 2,620,545,816,100
  5. Step 5: Solve for x
    x = 2,620,545,816,100/741,446
  6. Step 6: Final answer
    x = 3,534,371.78

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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.