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Finding the Third Proportional to 619,766 and 957,675

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Solution

The third proportional to 619,766 and 957,675 is: 1,479,818.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,766 : 957,675 = 957,675 : x
  2. Step 2: Convert to fraction form
    619,766/957,675 = 957,675/x
  3. Step 3: Cross multiply
    619,766x = 957,675 × 957,675
  4. Step 4: Simplify right side
    619,766x = 917,141,405,625
  5. Step 5: Solve for x
    x = 917,141,405,625/619,766
  6. Step 6: Final answer
    x = 1,479,818.84

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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.