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Finding the Third Proportional to 789,512 and 1,199,044

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Solution

The third proportional to 789,512 and 1,199,044 is: 1,821,006.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,512 : 1,199,044 = 1,199,044 : x
  2. Step 2: Convert to fraction form
    789,512/1,199,044 = 1,199,044/x
  3. Step 3: Cross multiply
    789,512x = 1,199,044 × 1,199,044
  4. Step 4: Simplify right side
    789,512x = 1,437,706,513,936
  5. Step 5: Solve for x
    x = 1,437,706,513,936/789,512
  6. Step 6: Final answer
    x = 1,821,006.54

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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.