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Finding the Third Proportional to 461,350 and 991,672

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Solution

The third proportional to 461,350 and 991,672 is: 2,131,599.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,350 : 991,672 = 991,672 : x
  2. Step 2: Convert to fraction form
    461,350/991,672 = 991,672/x
  3. Step 3: Cross multiply
    461,350x = 991,672 × 991,672
  4. Step 4: Simplify right side
    461,350x = 983,413,355,584
  5. Step 5: Solve for x
    x = 983,413,355,584/461,350
  6. Step 6: Final answer
    x = 2,131,599.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.