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Finding the Third Proportional to 458,963 and 994,174

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Solution

The third proportional to 458,963 and 994,174 is: 2,153,511.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,963 : 994,174 = 994,174 : x
  2. Step 2: Convert to fraction form
    458,963/994,174 = 994,174/x
  3. Step 3: Cross multiply
    458,963x = 994,174 × 994,174
  4. Step 4: Simplify right side
    458,963x = 988,381,942,276
  5. Step 5: Solve for x
    x = 988,381,942,276/458,963
  6. Step 6: Final answer
    x = 2,153,511.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.