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Finding the Third Proportional to 741,405 and 1,618,725

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Solution

The third proportional to 741,405 and 1,618,725 is: 3,534,196.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,405 : 1,618,725 = 1,618,725 : x
  2. Step 2: Convert to fraction form
    741,405/1,618,725 = 1,618,725/x
  3. Step 3: Cross multiply
    741,405x = 1,618,725 × 1,618,725
  4. Step 4: Simplify right side
    741,405x = 2,620,270,625,625
  5. Step 5: Solve for x
    x = 2,620,270,625,625/741,405
  6. Step 6: Final answer
    x = 3,534,196.05

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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.