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Finding the Third Proportional to 600,266 and 915,645

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Solution

The third proportional to 600,266 and 915,645 is: 1,396,723.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,266 : 915,645 = 915,645 : x
  2. Step 2: Convert to fraction form
    600,266/915,645 = 915,645/x
  3. Step 3: Cross multiply
    600,266x = 915,645 × 915,645
  4. Step 4: Simplify right side
    600,266x = 838,405,766,025
  5. Step 5: Solve for x
    x = 838,405,766,025/600,266
  6. Step 6: Final answer
    x = 1,396,723.73

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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.