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Finding the Third Proportional to 727,632 and 1,491,328

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Solution

The third proportional to 727,632 and 1,491,328 is: 3,056,571.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,632 : 1,491,328 = 1,491,328 : x
  2. Step 2: Convert to fraction form
    727,632/1,491,328 = 1,491,328/x
  3. Step 3: Cross multiply
    727,632x = 1,491,328 × 1,491,328
  4. Step 4: Simplify right side
    727,632x = 2,224,059,203,584
  5. Step 5: Solve for x
    x = 2,224,059,203,584/727,632
  6. Step 6: Final answer
    x = 3,056,571.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.