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Finding the Third Proportional to 942,060 and 1,963,812

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Solution

The third proportional to 942,060 and 1,963,812 is: 4,093,749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    942,060 : 1,963,812 = 1,963,812 : x
  2. Step 2: Convert to fraction form
    942,060/1,963,812 = 1,963,812/x
  3. Step 3: Cross multiply
    942,060x = 1,963,812 × 1,963,812
  4. Step 4: Simplify right side
    942,060x = 3,856,557,571,344
  5. Step 5: Solve for x
    x = 3,856,557,571,344/942,060
  6. Step 6: Final answer
    x = 4,093,749.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.