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Finding the Third Proportional to 677,318 and 991,083

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Solution

The third proportional to 677,318 and 991,083 is: 1,450,198.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,318 : 991,083 = 991,083 : x
  2. Step 2: Convert to fraction form
    677,318/991,083 = 991,083/x
  3. Step 3: Cross multiply
    677,318x = 991,083 × 991,083
  4. Step 4: Simplify right side
    677,318x = 982,245,512,889
  5. Step 5: Solve for x
    x = 982,245,512,889/677,318
  6. Step 6: Final answer
    x = 1,450,198.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.