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Finding the Third Proportional to 459,112 and 991,995

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Solution

The third proportional to 459,112 and 991,995 is: 2,143,385.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,112 : 991,995 = 991,995 : x
  2. Step 2: Convert to fraction form
    459,112/991,995 = 991,995/x
  3. Step 3: Cross multiply
    459,112x = 991,995 × 991,995
  4. Step 4: Simplify right side
    459,112x = 984,054,080,025
  5. Step 5: Solve for x
    x = 984,054,080,025/459,112
  6. Step 6: Final answer
    x = 2,143,385.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.