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Finding the Third Proportional to 389,717 and 837,450

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Solution

The third proportional to 389,717 and 837,450 is: 1,799,568.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,717 : 837,450 = 837,450 : x
  2. Step 2: Convert to fraction form
    389,717/837,450 = 837,450/x
  3. Step 3: Cross multiply
    389,717x = 837,450 × 837,450
  4. Step 4: Simplify right side
    389,717x = 701,322,502,500
  5. Step 5: Solve for x
    x = 701,322,502,500/389,717
  6. Step 6: Final answer
    x = 1,799,568.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.