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Finding the Third Proportional to 479,478 and 1,033,680

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Solution

The third proportional to 479,478 and 1,033,680 is: 2,228,453.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,478 : 1,033,680 = 1,033,680 : x
  2. Step 2: Convert to fraction form
    479,478/1,033,680 = 1,033,680/x
  3. Step 3: Cross multiply
    479,478x = 1,033,680 × 1,033,680
  4. Step 4: Simplify right side
    479,478x = 1,068,494,342,400
  5. Step 5: Solve for x
    x = 1,068,494,342,400/479,478
  6. Step 6: Final answer
    x = 2,228,453.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.