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Finding the Third Proportional to 856,811 and 1,861,119

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Solution

The third proportional to 856,811 and 1,861,119 is: 4,042,623.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,811 : 1,861,119 = 1,861,119 : x
  2. Step 2: Convert to fraction form
    856,811/1,861,119 = 1,861,119/x
  3. Step 3: Cross multiply
    856,811x = 1,861,119 × 1,861,119
  4. Step 4: Simplify right side
    856,811x = 3,463,763,932,161
  5. Step 5: Solve for x
    x = 3,463,763,932,161/856,811
  6. Step 6: Final answer
    x = 4,042,623.09

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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.