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Finding the Third Proportional to 575,674 and 1,253,474

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Solution

The third proportional to 575,674 and 1,253,474 is: 2,729,317.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,674 : 1,253,474 = 1,253,474 : x
  2. Step 2: Convert to fraction form
    575,674/1,253,474 = 1,253,474/x
  3. Step 3: Cross multiply
    575,674x = 1,253,474 × 1,253,474
  4. Step 4: Simplify right side
    575,674x = 1,571,197,068,676
  5. Step 5: Solve for x
    x = 1,571,197,068,676/575,674
  6. Step 6: Final answer
    x = 2,729,317.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.