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Finding the Third Proportional to 666,410 and 949,755

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Solution

The third proportional to 666,410 and 949,755 is: 1,353,572.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,410 : 949,755 = 949,755 : x
  2. Step 2: Convert to fraction form
    666,410/949,755 = 949,755/x
  3. Step 3: Cross multiply
    666,410x = 949,755 × 949,755
  4. Step 4: Simplify right side
    666,410x = 902,034,560,025
  5. Step 5: Solve for x
    x = 902,034,560,025/666,410
  6. Step 6: Final answer
    x = 1,353,572.97

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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.