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Finding the Third Proportional to 982,886 and 2,102,393

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Solution

The third proportional to 982,886 and 2,102,393 is: 4,497,018.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,886 : 2,102,393 = 2,102,393 : x
  2. Step 2: Convert to fraction form
    982,886/2,102,393 = 2,102,393/x
  3. Step 3: Cross multiply
    982,886x = 2,102,393 × 2,102,393
  4. Step 4: Simplify right side
    982,886x = 4,420,056,326,449
  5. Step 5: Solve for x
    x = 4,420,056,326,449/982,886
  6. Step 6: Final answer
    x = 4,497,018.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.