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Finding the Third Proportional to 678,977.44 and 951,522.19

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Solution

The third proportional to 678,977.44 and 951,522.19 is: 1,333,467.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,977.44 : 951,522.19 = 951,522.19 : x
  2. Step 2: Convert to fraction form
    678,977.44/951,522.19 = 951,522.19/x
  3. Step 3: Cross multiply
    678,977.44x = 951,522.19 × 951,522.19
  4. Step 4: Simplify right side
    678,977.44x = 905,394,473,304.79
  5. Step 5: Solve for x
    x = 905,394,473,304.79/678,977.44
  6. Step 6: Final answer
    x = 1,333,467.69

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.