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Finding the Third Proportional to 461,593 and 959,878

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Solution

The third proportional to 461,593 and 959,878 is: 1,996,056.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,593 : 959,878 = 959,878 : x
  2. Step 2: Convert to fraction form
    461,593/959,878 = 959,878/x
  3. Step 3: Cross multiply
    461,593x = 959,878 × 959,878
  4. Step 4: Simplify right side
    461,593x = 921,365,774,884
  5. Step 5: Solve for x
    x = 921,365,774,884/461,593
  6. Step 6: Final answer
    x = 1,996,056.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.