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Finding the Third Proportional to 856,776 and 1,861,041

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Solution

The third proportional to 856,776 and 1,861,041 is: 4,042,449.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,776 : 1,861,041 = 1,861,041 : x
  2. Step 2: Convert to fraction form
    856,776/1,861,041 = 1,861,041/x
  3. Step 3: Cross multiply
    856,776x = 1,861,041 × 1,861,041
  4. Step 4: Simplify right side
    856,776x = 3,463,473,603,681
  5. Step 5: Solve for x
    x = 3,463,473,603,681/856,776
  6. Step 6: Final answer
    x = 4,042,449.37

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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.