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Finding the Third Proportional to 970,198.88 and 2,040,935.63

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Solution

The third proportional to 970,198.88 and 2,040,935.63 is: 4,293,365.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,198.88 : 2,040,935.63 = 2,040,935.63 : x
  2. Step 2: Convert to fraction form
    970,198.88/2,040,935.63 = 2,040,935.63/x
  3. Step 3: Cross multiply
    970,198.88x = 2,040,935.63 × 2,040,935.63
  4. Step 4: Simplify right side
    970,198.88x = 4,165,418,225,394.14
  5. Step 5: Solve for x
    x = 4,165,418,225,394.14/970,198.88
  6. Step 6: Final answer
    x = 4,293,365.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.