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Finding the Third Proportional to 741,342 and 1,618,621

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Solution

The third proportional to 741,342 and 1,618,621 is: 3,534,042.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,342 : 1,618,621 = 1,618,621 : x
  2. Step 2: Convert to fraction form
    741,342/1,618,621 = 1,618,621/x
  3. Step 3: Cross multiply
    741,342x = 1,618,621 × 1,618,621
  4. Step 4: Simplify right side
    741,342x = 2,619,933,941,641
  5. Step 5: Solve for x
    x = 2,619,933,941,641/741,342
  6. Step 6: Final answer
    x = 3,534,042.24

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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.