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Finding the Third Proportional to 512,635 and 789,033

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Solution

The third proportional to 512,635 and 789,033 is: 1,214,456.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,635 : 789,033 = 789,033 : x
  2. Step 2: Convert to fraction form
    512,635/789,033 = 789,033/x
  3. Step 3: Cross multiply
    512,635x = 789,033 × 789,033
  4. Step 4: Simplify right side
    512,635x = 622,573,075,089
  5. Step 5: Solve for x
    x = 622,573,075,089/512,635
  6. Step 6: Final answer
    x = 1,214,456.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.