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Finding the Third Proportional to 452,168 and 954,736

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Solution

The third proportional to 452,168 and 954,736 is: 2,015,889.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,168 : 954,736 = 954,736 : x
  2. Step 2: Convert to fraction form
    452,168/954,736 = 954,736/x
  3. Step 3: Cross multiply
    452,168x = 954,736 × 954,736
  4. Step 4: Simplify right side
    452,168x = 911,520,829,696
  5. Step 5: Solve for x
    x = 911,520,829,696/452,168
  6. Step 6: Final answer
    x = 2,015,889.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.