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Finding the Third Proportional to 664,821 and 996,984

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Solution

The third proportional to 664,821 and 996,984 is: 1,495,104.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,821 : 996,984 = 996,984 : x
  2. Step 2: Convert to fraction form
    664,821/996,984 = 996,984/x
  3. Step 3: Cross multiply
    664,821x = 996,984 × 996,984
  4. Step 4: Simplify right side
    664,821x = 993,977,096,256
  5. Step 5: Solve for x
    x = 993,977,096,256/664,821
  6. Step 6: Final answer
    x = 1,495,104.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.