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Finding the Third Proportional to 463,662 and 967,500

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Solution

The third proportional to 463,662 and 967,500 is: 2,018,833.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,662 : 967,500 = 967,500 : x
  2. Step 2: Convert to fraction form
    463,662/967,500 = 967,500/x
  3. Step 3: Cross multiply
    463,662x = 967,500 × 967,500
  4. Step 4: Simplify right side
    463,662x = 936,056,250,000
  5. Step 5: Solve for x
    x = 936,056,250,000/463,662
  6. Step 6: Final answer
    x = 2,018,833.22

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.