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Finding the Third Proportional to 461,539 and 996,892

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Solution

The third proportional to 461,539 and 996,892 is: 2,153,217.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,539 : 996,892 = 996,892 : x
  2. Step 2: Convert to fraction form
    461,539/996,892 = 996,892/x
  3. Step 3: Cross multiply
    461,539x = 996,892 × 996,892
  4. Step 4: Simplify right side
    461,539x = 993,793,659,664
  5. Step 5: Solve for x
    x = 993,793,659,664/461,539
  6. Step 6: Final answer
    x = 2,153,217.08

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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.