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Finding the Third Proportional to 982,623.75 and 2,083,344

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Solution

The third proportional to 982,623.75 and 2,083,344 is: 4,417,074.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,623.75 : 2,083,344 = 2,083,344 : x
  2. Step 2: Convert to fraction form
    982,623.75/2,083,344 = 2,083,344/x
  3. Step 3: Cross multiply
    982,623.75x = 2,083,344 × 2,083,344
  4. Step 4: Simplify right side
    982,623.75x = 4,340,322,222,336
  5. Step 5: Solve for x
    x = 4,340,322,222,336/982,623.75
  6. Step 6: Final answer
    x = 4,417,074.41

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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.