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Finding the Third Proportional to 469,016 and 954,592

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Solution

The third proportional to 469,016 and 954,592 is: 1,942,888.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,016 : 954,592 = 954,592 : x
  2. Step 2: Convert to fraction form
    469,016/954,592 = 954,592/x
  3. Step 3: Cross multiply
    469,016x = 954,592 × 954,592
  4. Step 4: Simplify right side
    469,016x = 911,245,886,464
  5. Step 5: Solve for x
    x = 911,245,886,464/469,016
  6. Step 6: Final answer
    x = 1,942,888.70

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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.