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Finding the Third Proportional to 665,847 and 1,467,423

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Solution

The third proportional to 665,847 and 1,467,423 is: 3,233,971.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,847 : 1,467,423 = 1,467,423 : x
  2. Step 2: Convert to fraction form
    665,847/1,467,423 = 1,467,423/x
  3. Step 3: Cross multiply
    665,847x = 1,467,423 × 1,467,423
  4. Step 4: Simplify right side
    665,847x = 2,153,330,260,929
  5. Step 5: Solve for x
    x = 2,153,330,260,929/665,847
  6. Step 6: Final answer
    x = 3,233,971.56

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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.