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Finding the Third Proportional to 467,919 and 957,963

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Solution

The third proportional to 467,919 and 957,963 is: 1,961,222.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,919 : 957,963 = 957,963 : x
  2. Step 2: Convert to fraction form
    467,919/957,963 = 957,963/x
  3. Step 3: Cross multiply
    467,919x = 957,963 × 957,963
  4. Step 4: Simplify right side
    467,919x = 917,693,109,369
  5. Step 5: Solve for x
    x = 917,693,109,369/467,919
  6. Step 6: Final answer
    x = 1,961,222.15

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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.