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Finding the Third Proportional to 647,944 and 959,154

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Solution

The third proportional to 647,944 and 959,154 is: 1,419,839.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,944 : 959,154 = 959,154 : x
  2. Step 2: Convert to fraction form
    647,944/959,154 = 959,154/x
  3. Step 3: Cross multiply
    647,944x = 959,154 × 959,154
  4. Step 4: Simplify right side
    647,944x = 919,976,395,716
  5. Step 5: Solve for x
    x = 919,976,395,716/647,944
  6. Step 6: Final answer
    x = 1,419,839.36

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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.