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Finding the Third Proportional to 459,434 and 992,668

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Solution

The third proportional to 459,434 and 992,668 is: 2,144,790.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,434 : 992,668 = 992,668 : x
  2. Step 2: Convert to fraction form
    459,434/992,668 = 992,668/x
  3. Step 3: Cross multiply
    459,434x = 992,668 × 992,668
  4. Step 4: Simplify right side
    459,434x = 985,389,758,224
  5. Step 5: Solve for x
    x = 985,389,758,224/459,434
  6. Step 6: Final answer
    x = 2,144,790.67

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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.