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Finding the Third Proportional to 741,432 and 1,618,782

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Solution

The third proportional to 741,432 and 1,618,782 is: 3,534,316.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,432 : 1,618,782 = 1,618,782 : x
  2. Step 2: Convert to fraction form
    741,432/1,618,782 = 1,618,782/x
  3. Step 3: Cross multiply
    741,432x = 1,618,782 × 1,618,782
  4. Step 4: Simplify right side
    741,432x = 2,620,455,163,524
  5. Step 5: Solve for x
    x = 2,620,455,163,524/741,432
  6. Step 6: Final answer
    x = 3,534,316.25

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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.