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Finding the Third Proportional to 727,720 and 1,491,472

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Solution

The third proportional to 727,720 and 1,491,472 is: 3,056,792.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,720 : 1,491,472 = 1,491,472 : x
  2. Step 2: Convert to fraction form
    727,720/1,491,472 = 1,491,472/x
  3. Step 3: Cross multiply
    727,720x = 1,491,472 × 1,491,472
  4. Step 4: Simplify right side
    727,720x = 2,224,488,726,784
  5. Step 5: Solve for x
    x = 2,224,488,726,784/727,720
  6. Step 6: Final answer
    x = 3,056,792.07

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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.