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Finding the Third Proportional to 766,954 and 1,200,489

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Solution

The third proportional to 766,954 and 1,200,489 is: 1,879,087.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,954 : 1,200,489 = 1,200,489 : x
  2. Step 2: Convert to fraction form
    766,954/1,200,489 = 1,200,489/x
  3. Step 3: Cross multiply
    766,954x = 1,200,489 × 1,200,489
  4. Step 4: Simplify right side
    766,954x = 1,441,173,839,121
  5. Step 5: Solve for x
    x = 1,441,173,839,121/766,954
  6. Step 6: Final answer
    x = 1,879,087.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.