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Finding the Third Proportional to 468,042 and 958,257

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Solution

The third proportional to 468,042 and 958,257 is: 1,961,910.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,042 : 958,257 = 958,257 : x
  2. Step 2: Convert to fraction form
    468,042/958,257 = 958,257/x
  3. Step 3: Cross multiply
    468,042x = 958,257 × 958,257
  4. Step 4: Simplify right side
    468,042x = 918,256,478,049
  5. Step 5: Solve for x
    x = 918,256,478,049/468,042
  6. Step 6: Final answer
    x = 1,961,910.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.