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Finding the Third Proportional to 408,986 and 837,804

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Solution

The third proportional to 408,986 and 837,804 is: 1,716,233.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,986 : 837,804 = 837,804 : x
  2. Step 2: Convert to fraction form
    408,986/837,804 = 837,804/x
  3. Step 3: Cross multiply
    408,986x = 837,804 × 837,804
  4. Step 4: Simplify right side
    408,986x = 701,915,542,416
  5. Step 5: Solve for x
    x = 701,915,542,416/408,986
  6. Step 6: Final answer
    x = 1,716,233.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.