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Finding the Third Proportional to 856,817 and 1,861,131

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Solution

The third proportional to 856,817 and 1,861,131 is: 4,042,646.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,817 : 1,861,131 = 1,861,131 : x
  2. Step 2: Convert to fraction form
    856,817/1,861,131 = 1,861,131/x
  3. Step 3: Cross multiply
    856,817x = 1,861,131 × 1,861,131
  4. Step 4: Simplify right side
    856,817x = 3,463,808,599,161
  5. Step 5: Solve for x
    x = 3,463,808,599,161/856,817
  6. Step 6: Final answer
    x = 4,042,646.91

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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.