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Finding the Third Proportional to 466,083 and 993,174

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Solution

The third proportional to 466,083 and 993,174 is: 2,116,349.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,083 : 993,174 = 993,174 : x
  2. Step 2: Convert to fraction form
    466,083/993,174 = 993,174/x
  3. Step 3: Cross multiply
    466,083x = 993,174 × 993,174
  4. Step 4: Simplify right side
    466,083x = 986,394,594,276
  5. Step 5: Solve for x
    x = 986,394,594,276/466,083
  6. Step 6: Final answer
    x = 2,116,349.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.