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Finding the Third Proportional to 647,926 and 959,137

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Solution

The third proportional to 647,926 and 959,137 is: 1,419,828.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,926 : 959,137 = 959,137 : x
  2. Step 2: Convert to fraction form
    647,926/959,137 = 959,137/x
  3. Step 3: Cross multiply
    647,926x = 959,137 × 959,137
  4. Step 4: Simplify right side
    647,926x = 919,943,784,769
  5. Step 5: Solve for x
    x = 919,943,784,769/647,926
  6. Step 6: Final answer
    x = 1,419,828.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.