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Finding the Third Proportional to 461,556 and 996,916

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Solution

The third proportional to 461,556 and 996,916 is: 2,153,241.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,556 : 996,916 = 996,916 : x
  2. Step 2: Convert to fraction form
    461,556/996,916 = 996,916/x
  3. Step 3: Cross multiply
    461,556x = 996,916 × 996,916
  4. Step 4: Simplify right side
    461,556x = 993,841,511,056
  5. Step 5: Solve for x
    x = 993,841,511,056/461,556
  6. Step 6: Final answer
    x = 2,153,241.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.