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Finding the Third Proportional to 856,819 and 1,861,135

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Solution

The third proportional to 856,819 and 1,861,135 is: 4,042,654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,819 : 1,861,135 = 1,861,135 : x
  2. Step 2: Convert to fraction form
    856,819/1,861,135 = 1,861,135/x
  3. Step 3: Cross multiply
    856,819x = 1,861,135 × 1,861,135
  4. Step 4: Simplify right side
    856,819x = 3,463,823,488,225
  5. Step 5: Solve for x
    x = 3,463,823,488,225/856,819
  6. Step 6: Final answer
    x = 4,042,654.85

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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.