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Finding the Third Proportional to 982,617 and 2,083,338

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Solution

The third proportional to 982,617 and 2,083,338 is: 4,417,079.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,617 : 2,083,338 = 2,083,338 : x
  2. Step 2: Convert to fraction form
    982,617/2,083,338 = 2,083,338/x
  3. Step 3: Cross multiply
    982,617x = 2,083,338 × 2,083,338
  4. Step 4: Simplify right side
    982,617x = 4,340,297,222,244
  5. Step 5: Solve for x
    x = 4,340,297,222,244/982,617
  6. Step 6: Final answer
    x = 4,417,079.31

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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.