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Finding the Third Proportional to 467,920 and 957,966

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Solution

The third proportional to 467,920 and 957,966 is: 1,961,230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,920 : 957,966 = 957,966 : x
  2. Step 2: Convert to fraction form
    467,920/957,966 = 957,966/x
  3. Step 3: Cross multiply
    467,920x = 957,966 × 957,966
  4. Step 4: Simplify right side
    467,920x = 917,698,857,156
  5. Step 5: Solve for x
    x = 917,698,857,156/467,920
  6. Step 6: Final answer
    x = 1,961,230.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.