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Finding the Third Proportional to 427,468 and 940,256

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Solution

The third proportional to 427,468 and 940,256 is: 2,068,181.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,468 : 940,256 = 940,256 : x
  2. Step 2: Convert to fraction form
    427,468/940,256 = 940,256/x
  3. Step 3: Cross multiply
    427,468x = 940,256 × 940,256
  4. Step 4: Simplify right side
    427,468x = 884,081,345,536
  5. Step 5: Solve for x
    x = 884,081,345,536/427,468
  6. Step 6: Final answer
    x = 2,068,181.35

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.