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Finding the Third Proportional to 2,278,084 and 5,010,920

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Solution

The third proportional to 2,278,084 and 5,010,920 is: 11,022,121.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278,084 : 5,010,920 = 5,010,920 : x
  2. Step 2: Convert to fraction form
    2,278,084/5,010,920 = 5,010,920/x
  3. Step 3: Cross multiply
    2,278,084x = 5,010,920 × 5,010,920
  4. Step 4: Simplify right side
    2,278,084x = 25,109,319,246,400
  5. Step 5: Solve for x
    x = 25,109,319,246,400/2,278,084
  6. Step 6: Final answer
    x = 11,022,121.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.