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Finding the Third Proportional to 619,764 and 957,672

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Solution

The third proportional to 619,764 and 957,672 is: 1,479,814.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,764 : 957,672 = 957,672 : x
  2. Step 2: Convert to fraction form
    619,764/957,672 = 957,672/x
  3. Step 3: Cross multiply
    619,764x = 957,672 × 957,672
  4. Step 4: Simplify right side
    619,764x = 917,135,659,584
  5. Step 5: Solve for x
    x = 917,135,659,584/619,764
  6. Step 6: Final answer
    x = 1,479,814.35

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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.