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Finding the Third Proportional to 437,744 and 942,408

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Solution

The third proportional to 437,744 and 942,408 is: 2,028,886.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,744 : 942,408 = 942,408 : x
  2. Step 2: Convert to fraction form
    437,744/942,408 = 942,408/x
  3. Step 3: Cross multiply
    437,744x = 942,408 × 942,408
  4. Step 4: Simplify right side
    437,744x = 888,132,838,464
  5. Step 5: Solve for x
    x = 888,132,838,464/437,744
  6. Step 6: Final answer
    x = 2,028,886.38

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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.