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Finding the Third Proportional to 824,381 and 1,789,761

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Solution

The third proportional to 824,381 and 1,789,761 is: 3,885,635.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,381 : 1,789,761 = 1,789,761 : x
  2. Step 2: Convert to fraction form
    824,381/1,789,761 = 1,789,761/x
  3. Step 3: Cross multiply
    824,381x = 1,789,761 × 1,789,761
  4. Step 4: Simplify right side
    824,381x = 3,203,244,437,121
  5. Step 5: Solve for x
    x = 3,203,244,437,121/824,381
  6. Step 6: Final answer
    x = 3,885,635.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.