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Finding the Third Proportional to 437,652 and 949,996

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Solution

The third proportional to 437,652 and 949,996 is: 2,062,123.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,652 : 949,996 = 949,996 : x
  2. Step 2: Convert to fraction form
    437,652/949,996 = 949,996/x
  3. Step 3: Cross multiply
    437,652x = 949,996 × 949,996
  4. Step 4: Simplify right side
    437,652x = 902,492,400,016
  5. Step 5: Solve for x
    x = 902,492,400,016/437,652
  6. Step 6: Final answer
    x = 2,062,123.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.