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Finding the Third Proportional to 468,284 and 994,878

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Solution

The third proportional to 468,284 and 994,878 is: 2,113,636.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,284 : 994,878 = 994,878 : x
  2. Step 2: Convert to fraction form
    468,284/994,878 = 994,878/x
  3. Step 3: Cross multiply
    468,284x = 994,878 × 994,878
  4. Step 4: Simplify right side
    468,284x = 989,782,234,884
  5. Step 5: Solve for x
    x = 989,782,234,884/468,284
  6. Step 6: Final answer
    x = 2,113,636.67

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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.