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Finding the Third Proportional to 789,380 and 1,203,718

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Solution

The third proportional to 789,380 and 1,203,718 is: 1,835,538.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,380 : 1,203,718 = 1,203,718 : x
  2. Step 2: Convert to fraction form
    789,380/1,203,718 = 1,203,718/x
  3. Step 3: Cross multiply
    789,380x = 1,203,718 × 1,203,718
  4. Step 4: Simplify right side
    789,380x = 1,448,937,023,524
  5. Step 5: Solve for x
    x = 1,448,937,023,524/789,380
  6. Step 6: Final answer
    x = 1,835,538.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.