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Finding the Third Proportional to 741,441 and 1,618,794

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Solution

The third proportional to 741,441 and 1,618,794 is: 3,534,325.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,441 : 1,618,794 = 1,618,794 : x
  2. Step 2: Convert to fraction form
    741,441/1,618,794 = 1,618,794/x
  3. Step 3: Cross multiply
    741,441x = 1,618,794 × 1,618,794
  4. Step 4: Simplify right side
    741,441x = 2,620,494,014,436
  5. Step 5: Solve for x
    x = 2,620,494,014,436/741,441
  6. Step 6: Final answer
    x = 3,534,325.74

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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.