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Finding the Third Proportional to 976,201 and 1,999,975

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Solution

The third proportional to 976,201 and 1,999,975 is: 4,097,414.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,201 : 1,999,975 = 1,999,975 : x
  2. Step 2: Convert to fraction form
    976,201/1,999,975 = 1,999,975/x
  3. Step 3: Cross multiply
    976,201x = 1,999,975 × 1,999,975
  4. Step 4: Simplify right side
    976,201x = 3,999,900,000,625
  5. Step 5: Solve for x
    x = 3,999,900,000,625/976,201
  6. Step 6: Final answer
    x = 4,097,414.37

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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.