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Finding the Third Proportional to 2,317,152 and 4,846,170

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Solution

The third proportional to 2,317,152 and 4,846,170 is: 10,135,443.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317,152 : 4,846,170 = 4,846,170 : x
  2. Step 2: Convert to fraction form
    2,317,152/4,846,170 = 4,846,170/x
  3. Step 3: Cross multiply
    2,317,152x = 4,846,170 × 4,846,170
  4. Step 4: Simplify right side
    2,317,152x = 23,485,363,668,900
  5. Step 5: Solve for x
    x = 23,485,363,668,900/2,317,152
  6. Step 6: Final answer
    x = 10,135,443.71

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.