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Finding the Third Proportional to 697,404 and 1,512,144

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Solution

The third proportional to 697,404 and 1,512,144 is: 3,278,701.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,404 : 1,512,144 = 1,512,144 : x
  2. Step 2: Convert to fraction form
    697,404/1,512,144 = 1,512,144/x
  3. Step 3: Cross multiply
    697,404x = 1,512,144 × 1,512,144
  4. Step 4: Simplify right side
    697,404x = 2,286,579,476,736
  5. Step 5: Solve for x
    x = 2,286,579,476,736/697,404
  6. Step 6: Final answer
    x = 3,278,701.41

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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.