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Finding the Third Proportional to 600,192 and 1,000,512

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Solution

The third proportional to 600,192 and 1,000,512 is: 1,667,840.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,192 : 1,000,512 = 1,000,512 : x
  2. Step 2: Convert to fraction form
    600,192/1,000,512 = 1,000,512/x
  3. Step 3: Cross multiply
    600,192x = 1,000,512 × 1,000,512
  4. Step 4: Simplify right side
    600,192x = 1,001,024,262,144
  5. Step 5: Solve for x
    x = 1,001,024,262,144/600,192
  6. Step 6: Final answer
    x = 1,667,840.06

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.