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Finding the Third Proportional to 741,652 and 1,601,564

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Solution

The third proportional to 741,652 and 1,601,564 is: 3,458,505.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,652 : 1,601,564 = 1,601,564 : x
  2. Step 2: Convert to fraction form
    741,652/1,601,564 = 1,601,564/x
  3. Step 3: Cross multiply
    741,652x = 1,601,564 × 1,601,564
  4. Step 4: Simplify right side
    741,652x = 2,565,007,246,096
  5. Step 5: Solve for x
    x = 2,565,007,246,096/741,652
  6. Step 6: Final answer
    x = 3,458,505.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.