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Finding the Third Proportional to 437,642 and 942,242

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Solution

The third proportional to 437,642 and 942,242 is: 2,028,644.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,642 : 942,242 = 942,242 : x
  2. Step 2: Convert to fraction form
    437,642/942,242 = 942,242/x
  3. Step 3: Cross multiply
    437,642x = 942,242 × 942,242
  4. Step 4: Simplify right side
    437,642x = 887,819,986,564
  5. Step 5: Solve for x
    x = 887,819,986,564/437,642
  6. Step 6: Final answer
    x = 2,028,644.39

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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.