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Finding the Third Proportional to 697,869 and 1,511,670

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Solution

The third proportional to 697,869 and 1,511,670 is: 3,274,462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,869 : 1,511,670 = 1,511,670 : x
  2. Step 2: Convert to fraction form
    697,869/1,511,670 = 1,511,670/x
  3. Step 3: Cross multiply
    697,869x = 1,511,670 × 1,511,670
  4. Step 4: Simplify right side
    697,869x = 2,285,146,188,900
  5. Step 5: Solve for x
    x = 2,285,146,188,900/697,869
  6. Step 6: Final answer
    x = 3,274,462.96

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Why These Related Problems?

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