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Finding the Third Proportional to 2,186,811 and 3,237,144.75

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Solution

The third proportional to 2,186,811 and 3,237,144.75 is: 4,791,957.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186,811 : 3,237,144.75 = 3,237,144.75 : x
  2. Step 2: Convert to fraction form
    2,186,811/3,237,144.75 = 3,237,144.75/x
  3. Step 3: Cross multiply
    2,186,811x = 3,237,144.75 × 3,237,144.75
  4. Step 4: Simplify right side
    2,186,811x = 10,479,106,132,452.56
  5. Step 5: Solve for x
    x = 10,479,106,132,452.56/2,186,811
  6. Step 6: Final answer
    x = 4,791,957.85

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.