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Finding the Third Proportional to 1,743,261.75 and 3,776,064

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Solution

The third proportional to 1,743,261.75 and 3,776,064 is: 8,179,299.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743,261.75 : 3,776,064 = 3,776,064 : x
  2. Step 2: Convert to fraction form
    1,743,261.75/3,776,064 = 3,776,064/x
  3. Step 3: Cross multiply
    1,743,261.75x = 3,776,064 × 3,776,064
  4. Step 4: Simplify right side
    1,743,261.75x = 14,258,659,332,096
  5. Step 5: Solve for x
    x = 14,258,659,332,096/1,743,261.75
  6. Step 6: Final answer
    x = 8,179,299.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.