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Finding the Third Proportional to 1,505,344 and 2,305,984

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Solution

The third proportional to 1,505,344 and 2,305,984 is: 3,532,456.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505,344 : 2,305,984 = 2,305,984 : x
  2. Step 2: Convert to fraction form
    1,505,344/2,305,984 = 2,305,984/x
  3. Step 3: Cross multiply
    1,505,344x = 2,305,984 × 2,305,984
  4. Step 4: Simplify right side
    1,505,344x = 5,317,562,208,256
  5. Step 5: Solve for x
    x = 5,317,562,208,256/1,505,344
  6. Step 6: Final answer
    x = 3,532,456.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.