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Finding the Third Proportional to 453,911 and 682,826

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Solution

The third proportional to 453,911 and 682,826 is: 1,027,186.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,911 : 682,826 = 682,826 : x
  2. Step 2: Convert to fraction form
    453,911/682,826 = 682,826/x
  3. Step 3: Cross multiply
    453,911x = 682,826 × 682,826
  4. Step 4: Simplify right side
    453,911x = 466,251,346,276
  5. Step 5: Solve for x
    x = 466,251,346,276/453,911
  6. Step 6: Final answer
    x = 1,027,186.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.