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Finding the Third Proportional to 727,600 and 1,491,272

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Solution

The third proportional to 727,600 and 1,491,272 is: 3,056,476.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,600 : 1,491,272 = 1,491,272 : x
  2. Step 2: Convert to fraction form
    727,600/1,491,272 = 1,491,272/x
  3. Step 3: Cross multiply
    727,600x = 1,491,272 × 1,491,272
  4. Step 4: Simplify right side
    727,600x = 2,223,892,177,984
  5. Step 5: Solve for x
    x = 2,223,892,177,984/727,600
  6. Step 6: Final answer
    x = 3,056,476.33

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