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Finding the Third Proportional to 612,958 and 951,512

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Solution

The third proportional to 612,958 and 951,512 is: 1,477,058.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,958 : 951,512 = 951,512 : x
  2. Step 2: Convert to fraction form
    612,958/951,512 = 951,512/x
  3. Step 3: Cross multiply
    612,958x = 951,512 × 951,512
  4. Step 4: Simplify right side
    612,958x = 905,375,086,144
  5. Step 5: Solve for x
    x = 905,375,086,144/612,958
  6. Step 6: Final answer
    x = 1,477,058.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.