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Finding the Third Proportional to 665,741 and 1,464,079

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Solution

The third proportional to 665,741 and 1,464,079 is: 3,219,761.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,741 : 1,464,079 = 1,464,079 : x
  2. Step 2: Convert to fraction form
    665,741/1,464,079 = 1,464,079/x
  3. Step 3: Cross multiply
    665,741x = 1,464,079 × 1,464,079
  4. Step 4: Simplify right side
    665,741x = 2,143,527,318,241
  5. Step 5: Solve for x
    x = 2,143,527,318,241/665,741
  6. Step 6: Final answer
    x = 3,219,761.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.