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Finding the Third Proportional to 387,993 and 837,150

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Solution

The third proportional to 387,993 and 837,150 is: 1,806,270.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,993 : 837,150 = 837,150 : x
  2. Step 2: Convert to fraction form
    387,993/837,150 = 837,150/x
  3. Step 3: Cross multiply
    387,993x = 837,150 × 837,150
  4. Step 4: Simplify right side
    387,993x = 700,820,122,500
  5. Step 5: Solve for x
    x = 700,820,122,500/387,993
  6. Step 6: Final answer
    x = 1,806,270.02

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.