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Finding the Third Proportional to 437,760 and 942,480

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Solution

The third proportional to 437,760 and 942,480 is: 2,029,122.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,760 : 942,480 = 942,480 : x
  2. Step 2: Convert to fraction form
    437,760/942,480 = 942,480/x
  3. Step 3: Cross multiply
    437,760x = 942,480 × 942,480
  4. Step 4: Simplify right side
    437,760x = 888,268,550,400
  5. Step 5: Solve for x
    x = 888,268,550,400/437,760
  6. Step 6: Final answer
    x = 2,029,122.24

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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.