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Finding the Third Proportional to 437,636 and 942,232

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Solution

The third proportional to 437,636 and 942,232 is: 2,028,629.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,636 : 942,232 = 942,232 : x
  2. Step 2: Convert to fraction form
    437,636/942,232 = 942,232/x
  3. Step 3: Cross multiply
    437,636x = 942,232 × 942,232
  4. Step 4: Simplify right side
    437,636x = 887,801,141,824
  5. Step 5: Solve for x
    x = 887,801,141,824/437,636
  6. Step 6: Final answer
    x = 2,028,629.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.