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Finding the Third Proportional to 619,333 and 957,176

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Solution

The third proportional to 619,333 and 957,176 is: 1,479,310.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,333 : 957,176 = 957,176 : x
  2. Step 2: Convert to fraction form
    619,333/957,176 = 957,176/x
  3. Step 3: Cross multiply
    619,333x = 957,176 × 957,176
  4. Step 4: Simplify right side
    619,333x = 916,185,894,976
  5. Step 5: Solve for x
    x = 916,185,894,976/619,333
  6. Step 6: Final answer
    x = 1,479,310.64

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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.