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Finding the Third Proportional to 451,024 and 1,068,512

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Solution

The third proportional to 451,024 and 1,068,512 is: 2,531,390.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,024 : 1,068,512 = 1,068,512 : x
  2. Step 2: Convert to fraction form
    451,024/1,068,512 = 1,068,512/x
  3. Step 3: Cross multiply
    451,024x = 1,068,512 × 1,068,512
  4. Step 4: Simplify right side
    451,024x = 1,141,717,894,144
  5. Step 5: Solve for x
    x = 1,141,717,894,144/451,024
  6. Step 6: Final answer
    x = 2,531,390.56

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.