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Finding the Third Proportional to 468,300 and 994,932

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Solution

The third proportional to 468,300 and 994,932 is: 2,113,793.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,300 : 994,932 = 994,932 : x
  2. Step 2: Convert to fraction form
    468,300/994,932 = 994,932/x
  3. Step 3: Cross multiply
    468,300x = 994,932 × 994,932
  4. Step 4: Simplify right side
    468,300x = 989,889,684,624
  5. Step 5: Solve for x
    x = 989,889,684,624/468,300
  6. Step 6: Final answer
    x = 2,113,793.90

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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.