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Finding the Third Proportional to 982,660 and 2,083,420

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Solution

The third proportional to 982,660 and 2,083,420 is: 4,417,233.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,660 : 2,083,420 = 2,083,420 : x
  2. Step 2: Convert to fraction form
    982,660/2,083,420 = 2,083,420/x
  3. Step 3: Cross multiply
    982,660x = 2,083,420 × 2,083,420
  4. Step 4: Simplify right side
    982,660x = 4,340,638,896,400
  5. Step 5: Solve for x
    x = 4,340,638,896,400/982,660
  6. Step 6: Final answer
    x = 4,417,233.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.