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Finding the Third Proportional to 608,652 and 949,824

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Solution

The third proportional to 608,652 and 949,824 is: 1,482,235.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,652 : 949,824 = 949,824 : x
  2. Step 2: Convert to fraction form
    608,652/949,824 = 949,824/x
  3. Step 3: Cross multiply
    608,652x = 949,824 × 949,824
  4. Step 4: Simplify right side
    608,652x = 902,165,630,976
  5. Step 5: Solve for x
    x = 902,165,630,976/608,652
  6. Step 6: Final answer
    x = 1,482,235.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.