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Finding the Third Proportional to 1,620,960 and 3,752,232

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Solution

The third proportional to 1,620,960 and 3,752,232 is: 8,685,744.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620,960 : 3,752,232 = 3,752,232 : x
  2. Step 2: Convert to fraction form
    1,620,960/3,752,232 = 3,752,232/x
  3. Step 3: Cross multiply
    1,620,960x = 3,752,232 × 3,752,232
  4. Step 4: Simplify right side
    1,620,960x = 14,079,244,981,824
  5. Step 5: Solve for x
    x = 14,079,244,981,824/1,620,960
  6. Step 6: Final answer
    x = 8,685,744.86

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.