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Finding the Third Proportional to 824,367 and 1,789,733

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Solution

The third proportional to 824,367 and 1,789,733 is: 3,885,580.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,367 : 1,789,733 = 1,789,733 : x
  2. Step 2: Convert to fraction form
    824,367/1,789,733 = 1,789,733/x
  3. Step 3: Cross multiply
    824,367x = 1,789,733 × 1,789,733
  4. Step 4: Simplify right side
    824,367x = 3,203,144,211,289
  5. Step 5: Solve for x
    x = 3,203,144,211,289/824,367
  6. Step 6: Final answer
    x = 3,885,580.34

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