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Finding the Third Proportional to 500,872 and 1,086,668

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Solution

The third proportional to 500,872 and 1,086,668 is: 2,357,583.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,872 : 1,086,668 = 1,086,668 : x
  2. Step 2: Convert to fraction form
    500,872/1,086,668 = 1,086,668/x
  3. Step 3: Cross multiply
    500,872x = 1,086,668 × 1,086,668
  4. Step 4: Simplify right side
    500,872x = 1,180,847,342,224
  5. Step 5: Solve for x
    x = 1,180,847,342,224/500,872
  6. Step 6: Final answer
    x = 2,357,583.06

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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.