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Finding the Third Proportional to 426,814 and 914,483

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Solution

The third proportional to 426,814 and 914,483 is: 1,959,352.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,814 : 914,483 = 914,483 : x
  2. Step 2: Convert to fraction form
    426,814/914,483 = 914,483/x
  3. Step 3: Cross multiply
    426,814x = 914,483 × 914,483
  4. Step 4: Simplify right side
    426,814x = 836,279,157,289
  5. Step 5: Solve for x
    x = 836,279,157,289/426,814
  6. Step 6: Final answer
    x = 1,959,352.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.