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Finding the Third Proportional to 422,634 and 654,946

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Solution

The third proportional to 422,634 and 654,946 is: 1,014,954.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,634 : 654,946 = 654,946 : x
  2. Step 2: Convert to fraction form
    422,634/654,946 = 654,946/x
  3. Step 3: Cross multiply
    422,634x = 654,946 × 654,946
  4. Step 4: Simplify right side
    422,634x = 428,954,262,916
  5. Step 5: Solve for x
    x = 428,954,262,916/422,634
  6. Step 6: Final answer
    x = 1,014,954.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.