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Finding the Third Proportional to 459,047 and 994,324

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Solution

The third proportional to 459,047 and 994,324 is: 2,153,766.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,047 : 994,324 = 994,324 : x
  2. Step 2: Convert to fraction form
    459,047/994,324 = 994,324/x
  3. Step 3: Cross multiply
    459,047x = 994,324 × 994,324
  4. Step 4: Simplify right side
    459,047x = 988,680,216,976
  5. Step 5: Solve for x
    x = 988,680,216,976/459,047
  6. Step 6: Final answer
    x = 2,153,766.86

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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.