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Finding the Third Proportional to 459,084 and 994,400

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Solution

The third proportional to 459,084 and 994,400 is: 2,153,922.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,084 : 994,400 = 994,400 : x
  2. Step 2: Convert to fraction form
    459,084/994,400 = 994,400/x
  3. Step 3: Cross multiply
    459,084x = 994,400 × 994,400
  4. Step 4: Simplify right side
    459,084x = 988,831,360,000
  5. Step 5: Solve for x
    x = 988,831,360,000/459,084
  6. Step 6: Final answer
    x = 2,153,922.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.