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Finding the Third Proportional to 387,085 and 789,722

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Solution

The third proportional to 387,085 and 789,722 is: 1,611,172.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,085 : 789,722 = 789,722 : x
  2. Step 2: Convert to fraction form
    387,085/789,722 = 789,722/x
  3. Step 3: Cross multiply
    387,085x = 789,722 × 789,722
  4. Step 4: Simplify right side
    387,085x = 623,660,837,284
  5. Step 5: Solve for x
    x = 623,660,837,284/387,085
  6. Step 6: Final answer
    x = 1,611,172.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.