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Finding the Third Proportional to 609,472 and 913,632

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Solution

The third proportional to 609,472 and 913,632 is: 1,369,584.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,472 : 913,632 = 913,632 : x
  2. Step 2: Convert to fraction form
    609,472/913,632 = 913,632/x
  3. Step 3: Cross multiply
    609,472x = 913,632 × 913,632
  4. Step 4: Simplify right side
    609,472x = 834,723,431,424
  5. Step 5: Solve for x
    x = 834,723,431,424/609,472
  6. Step 6: Final answer
    x = 1,369,584.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.