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Finding the Third Proportional to 976,203 and 1,999,979

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Solution

The third proportional to 976,203 and 1,999,979 is: 4,097,422.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,203 : 1,999,979 = 1,999,979 : x
  2. Step 2: Convert to fraction form
    976,203/1,999,979 = 1,999,979/x
  3. Step 3: Cross multiply
    976,203x = 1,999,979 × 1,999,979
  4. Step 4: Simplify right side
    976,203x = 3,999,916,000,441
  5. Step 5: Solve for x
    x = 3,999,916,000,441/976,203
  6. Step 6: Final answer
    x = 4,097,422.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.