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Finding the Third Proportional to 824,454 and 1,789,884

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Solution

The third proportional to 824,454 and 1,789,884 is: 3,885,825.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,454 : 1,789,884 = 1,789,884 : x
  2. Step 2: Convert to fraction form
    824,454/1,789,884 = 1,789,884/x
  3. Step 3: Cross multiply
    824,454x = 1,789,884 × 1,789,884
  4. Step 4: Simplify right side
    824,454x = 3,203,684,733,456
  5. Step 5: Solve for x
    x = 3,203,684,733,456/824,454
  6. Step 6: Final answer
    x = 3,885,825.93

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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.