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Finding the Third Proportional to 467,108 and 1,021,462

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Solution

The third proportional to 467,108 and 1,021,462 is: 2,233,711.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,108 : 1,021,462 = 1,021,462 : x
  2. Step 2: Convert to fraction form
    467,108/1,021,462 = 1,021,462/x
  3. Step 3: Cross multiply
    467,108x = 1,021,462 × 1,021,462
  4. Step 4: Simplify right side
    467,108x = 1,043,384,617,444
  5. Step 5: Solve for x
    x = 1,043,384,617,444/467,108
  6. Step 6: Final answer
    x = 2,233,711.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.