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Finding the Third Proportional to 666,344 and 949,674

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Solution

The third proportional to 666,344 and 949,674 is: 1,353,476.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,344 : 949,674 = 949,674 : x
  2. Step 2: Convert to fraction form
    666,344/949,674 = 949,674/x
  3. Step 3: Cross multiply
    666,344x = 949,674 × 949,674
  4. Step 4: Simplify right side
    666,344x = 901,880,706,276
  5. Step 5: Solve for x
    x = 901,880,706,276/666,344
  6. Step 6: Final answer
    x = 1,353,476.14

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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.