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Finding the Third Proportional to 496,825 and 1,077,668

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Solution

The third proportional to 496,825 and 1,077,668 is: 2,337,580.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,825 : 1,077,668 = 1,077,668 : x
  2. Step 2: Convert to fraction form
    496,825/1,077,668 = 1,077,668/x
  3. Step 3: Cross multiply
    496,825x = 1,077,668 × 1,077,668
  4. Step 4: Simplify right side
    496,825x = 1,161,368,318,224
  5. Step 5: Solve for x
    x = 1,161,368,318,224/496,825
  6. Step 6: Final answer
    x = 2,337,580.27

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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.