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Finding the Third Proportional to 1,733,096.25 and 3,740,212.69

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Solution

The third proportional to 1,733,096.25 and 3,740,212.69 is: 8,071,791.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733,096.25 : 3,740,212.69 = 3,740,212.69 : x
  2. Step 2: Convert to fraction form
    1,733,096.25/3,740,212.69 = 3,740,212.69/x
  3. Step 3: Cross multiply
    1,733,096.25x = 3,740,212.69 × 3,740,212.69
  4. Step 4: Simplify right side
    1,733,096.25x = 13,989,190,947,735.97
  5. Step 5: Solve for x
    x = 13,989,190,947,735.97/1,733,096.25
  6. Step 6: Final answer
    x = 8,071,791.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.