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Finding the Third Proportional to 389,952 and 837,936

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Solution

The third proportional to 389,952 and 837,936 is: 1,800,572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,952 : 837,936 = 837,936 : x
  2. Step 2: Convert to fraction form
    389,952/837,936 = 837,936/x
  3. Step 3: Cross multiply
    389,952x = 837,936 × 837,936
  4. Step 4: Simplify right side
    389,952x = 702,136,740,096
  5. Step 5: Solve for x
    x = 702,136,740,096/389,952
  6. Step 6: Final answer
    x = 1,800,572.22

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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.