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Finding the Third Proportional to 850,756 and 1,869,232

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Solution

The third proportional to 850,756 and 1,869,232 is: 4,106,968.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,756 : 1,869,232 = 1,869,232 : x
  2. Step 2: Convert to fraction form
    850,756/1,869,232 = 1,869,232/x
  3. Step 3: Cross multiply
    850,756x = 1,869,232 × 1,869,232
  4. Step 4: Simplify right side
    850,756x = 3,494,028,269,824
  5. Step 5: Solve for x
    x = 3,494,028,269,824/850,756
  6. Step 6: Final answer
    x = 4,106,968.71

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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.