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Finding the Third Proportional to 619,812 and 957,750

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Solution

The third proportional to 619,812 and 957,750 is: 1,479,940.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,812 : 957,750 = 957,750 : x
  2. Step 2: Convert to fraction form
    619,812/957,750 = 957,750/x
  3. Step 3: Cross multiply
    619,812x = 957,750 × 957,750
  4. Step 4: Simplify right side
    619,812x = 917,285,062,500
  5. Step 5: Solve for x
    x = 917,285,062,500/619,812
  6. Step 6: Final answer
    x = 1,479,940.79

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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.