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Finding the Third Proportional to 459,054 and 994,338

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Solution

The third proportional to 459,054 and 994,338 is: 2,153,794.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,054 : 994,338 = 994,338 : x
  2. Step 2: Convert to fraction form
    459,054/994,338 = 994,338/x
  3. Step 3: Cross multiply
    459,054x = 994,338 × 994,338
  4. Step 4: Simplify right side
    459,054x = 988,708,058,244
  5. Step 5: Solve for x
    x = 988,708,058,244/459,054
  6. Step 6: Final answer
    x = 2,153,794.67

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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.