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Finding the Third Proportional to 2,152,317 and 4,682,960

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Solution

The third proportional to 2,152,317 and 4,682,960 is: 10,189,072.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152,317 : 4,682,960 = 4,682,960 : x
  2. Step 2: Convert to fraction form
    2,152,317/4,682,960 = 4,682,960/x
  3. Step 3: Cross multiply
    2,152,317x = 4,682,960 × 4,682,960
  4. Step 4: Simplify right side
    2,152,317x = 21,930,114,361,600
  5. Step 5: Solve for x
    x = 21,930,114,361,600/2,152,317
  6. Step 6: Final answer
    x = 10,189,072.69

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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.