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Finding the Third Proportional to 675,701 and 1,469,012

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Solution

The third proportional to 675,701 and 1,469,012 is: 3,193,714.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,701 : 1,469,012 = 1,469,012 : x
  2. Step 2: Convert to fraction form
    675,701/1,469,012 = 1,469,012/x
  3. Step 3: Cross multiply
    675,701x = 1,469,012 × 1,469,012
  4. Step 4: Simplify right side
    675,701x = 2,157,996,256,144
  5. Step 5: Solve for x
    x = 2,157,996,256,144/675,701
  6. Step 6: Final answer
    x = 3,193,714.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.