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Finding the Third Proportional to 666,441 and 949,800

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Solution

The third proportional to 666,441 and 949,800 is: 1,353,638.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,441 : 949,800 = 949,800 : x
  2. Step 2: Convert to fraction form
    666,441/949,800 = 949,800/x
  3. Step 3: Cross multiply
    666,441x = 949,800 × 949,800
  4. Step 4: Simplify right side
    666,441x = 902,120,040,000
  5. Step 5: Solve for x
    x = 902,120,040,000/666,441
  6. Step 6: Final answer
    x = 1,353,638.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.