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Finding the Third Proportional to 666,234 and 949,526

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Solution

The third proportional to 666,234 and 949,526 is: 1,353,277.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,234 : 949,526 = 949,526 : x
  2. Step 2: Convert to fraction form
    666,234/949,526 = 949,526/x
  3. Step 3: Cross multiply
    666,234x = 949,526 × 949,526
  4. Step 4: Simplify right side
    666,234x = 901,599,624,676
  5. Step 5: Solve for x
    x = 901,599,624,676/666,234
  6. Step 6: Final answer
    x = 1,353,277.71

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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.