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Finding the Third Proportional to 389,898 and 837,792

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Solution

The third proportional to 389,898 and 837,792 is: 1,800,202.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,898 : 837,792 = 837,792 : x
  2. Step 2: Convert to fraction form
    389,898/837,792 = 837,792/x
  3. Step 3: Cross multiply
    389,898x = 837,792 × 837,792
  4. Step 4: Simplify right side
    389,898x = 701,895,435,264
  5. Step 5: Solve for x
    x = 701,895,435,264/389,898
  6. Step 6: Final answer
    x = 1,800,202.71

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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.