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Finding the Third Proportional to 389,723 and 837,462

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Solution

The third proportional to 389,723 and 837,462 is: 1,799,592.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,723 : 837,462 = 837,462 : x
  2. Step 2: Convert to fraction form
    389,723/837,462 = 837,462/x
  3. Step 3: Cross multiply
    389,723x = 837,462 × 837,462
  4. Step 4: Simplify right side
    389,723x = 701,342,601,444
  5. Step 5: Solve for x
    x = 701,342,601,444/389,723
  6. Step 6: Final answer
    x = 1,799,592.53

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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.