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Finding the Third Proportional to 469,002 and 954,567

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Solution

The third proportional to 469,002 and 954,567 is: 1,942,844.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,002 : 954,567 = 954,567 : x
  2. Step 2: Convert to fraction form
    469,002/954,567 = 954,567/x
  3. Step 3: Cross multiply
    469,002x = 954,567 × 954,567
  4. Step 4: Simplify right side
    469,002x = 911,198,157,489
  5. Step 5: Solve for x
    x = 911,198,157,489/469,002
  6. Step 6: Final answer
    x = 1,942,844.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.