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Finding the Third Proportional to 1,775,640 and 3,913,232

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Solution

The third proportional to 1,775,640 and 3,913,232 is: 8,624,149.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775,640 : 3,913,232 = 3,913,232 : x
  2. Step 2: Convert to fraction form
    1,775,640/3,913,232 = 3,913,232/x
  3. Step 3: Cross multiply
    1,775,640x = 3,913,232 × 3,913,232
  4. Step 4: Simplify right side
    1,775,640x = 15,313,384,685,824
  5. Step 5: Solve for x
    x = 15,313,384,685,824/1,775,640
  6. Step 6: Final answer
    x = 8,624,149.43

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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.