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Finding the Third Proportional to 666,546 and 949,936

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Solution

The third proportional to 666,546 and 949,936 is: 1,353,812.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,546 : 949,936 = 949,936 : x
  2. Step 2: Convert to fraction form
    666,546/949,936 = 949,936/x
  3. Step 3: Cross multiply
    666,546x = 949,936 × 949,936
  4. Step 4: Simplify right side
    666,546x = 902,378,404,096
  5. Step 5: Solve for x
    x = 902,378,404,096/666,546
  6. Step 6: Final answer
    x = 1,353,812.65

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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.