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Finding the Third Proportional to 469,008 and 954,576

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Solution

The third proportional to 469,008 and 954,576 is: 1,942,856.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,008 : 954,576 = 954,576 : x
  2. Step 2: Convert to fraction form
    469,008/954,576 = 954,576/x
  3. Step 3: Cross multiply
    469,008x = 954,576 × 954,576
  4. Step 4: Simplify right side
    469,008x = 911,215,339,776
  5. Step 5: Solve for x
    x = 911,215,339,776/469,008
  6. Step 6: Final answer
    x = 1,942,856.71

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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.