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Finding the Third Proportional to 2,270,976 and 4,945,152

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Solution

The third proportional to 2,270,976 and 4,945,152 is: 10,768,290.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270,976 : 4,945,152 = 4,945,152 : x
  2. Step 2: Convert to fraction form
    2,270,976/4,945,152 = 4,945,152/x
  3. Step 3: Cross multiply
    2,270,976x = 4,945,152 × 4,945,152
  4. Step 4: Simplify right side
    2,270,976x = 24,454,528,303,104
  5. Step 5: Solve for x
    x = 24,454,528,303,104/2,270,976
  6. Step 6: Final answer
    x = 10,768,290.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.