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Finding the Third Proportional to 459,083 and 994,398

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Solution

The third proportional to 459,083 and 994,398 is: 2,153,918.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,083 : 994,398 = 994,398 : x
  2. Step 2: Convert to fraction form
    459,083/994,398 = 994,398/x
  3. Step 3: Cross multiply
    459,083x = 994,398 × 994,398
  4. Step 4: Simplify right side
    459,083x = 988,827,382,404
  5. Step 5: Solve for x
    x = 988,827,382,404/459,083
  6. Step 6: Final answer
    x = 2,153,918.53

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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.