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Finding the Third Proportional to 606,669 and 911,949

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Solution

The third proportional to 606,669 and 911,949 is: 1,370,847.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,669 : 911,949 = 911,949 : x
  2. Step 2: Convert to fraction form
    606,669/911,949 = 911,949/x
  3. Step 3: Cross multiply
    606,669x = 911,949 × 911,949
  4. Step 4: Simplify right side
    606,669x = 831,650,978,601
  5. Step 5: Solve for x
    x = 831,650,978,601/606,669
  6. Step 6: Final answer
    x = 1,370,847.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.