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Finding the Third Proportional to 666,414 and 949,761

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Solution

The third proportional to 666,414 and 949,761 is: 1,353,581.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,414 : 949,761 = 949,761 : x
  2. Step 2: Convert to fraction form
    666,414/949,761 = 949,761/x
  3. Step 3: Cross multiply
    666,414x = 949,761 × 949,761
  4. Step 4: Simplify right side
    666,414x = 902,045,957,121
  5. Step 5: Solve for x
    x = 902,045,957,121/666,414
  6. Step 6: Final answer
    x = 1,353,581.94

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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.