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Finding the Third Proportional to 459,058 and 994,344

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Solution

The third proportional to 459,058 and 994,344 is: 2,153,801.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,058 : 994,344 = 994,344 : x
  2. Step 2: Convert to fraction form
    459,058/994,344 = 994,344/x
  3. Step 3: Cross multiply
    459,058x = 994,344 × 994,344
  4. Step 4: Simplify right side
    459,058x = 988,719,990,336
  5. Step 5: Solve for x
    x = 988,719,990,336/459,058
  6. Step 6: Final answer
    x = 2,153,801.90

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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.