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Finding the Third Proportional to 469,354 and 996,884

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Solution

The third proportional to 469,354 and 996,884 is: 2,117,330.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,354 : 996,884 = 996,884 : x
  2. Step 2: Convert to fraction form
    469,354/996,884 = 996,884/x
  3. Step 3: Cross multiply
    469,354x = 996,884 × 996,884
  4. Step 4: Simplify right side
    469,354x = 993,777,709,456
  5. Step 5: Solve for x
    x = 993,777,709,456/469,354
  6. Step 6: Final answer
    x = 2,117,330.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.