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Finding the Third Proportional to 679,196 and 994,728

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Solution

The third proportional to 679,196 and 994,728 is: 1,456,845.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,196 : 994,728 = 994,728 : x
  2. Step 2: Convert to fraction form
    679,196/994,728 = 994,728/x
  3. Step 3: Cross multiply
    679,196x = 994,728 × 994,728
  4. Step 4: Simplify right side
    679,196x = 989,483,793,984
  5. Step 5: Solve for x
    x = 989,483,793,984/679,196
  6. Step 6: Final answer
    x = 1,456,845.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.