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Finding the Third Proportional to 970,194.38 and 2,040,926.63

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Solution

The third proportional to 970,194.38 and 2,040,926.63 is: 4,293,347.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,194.38 : 2,040,926.63 = 2,040,926.63 : x
  2. Step 2: Convert to fraction form
    970,194.38/2,040,926.63 = 2,040,926.63/x
  3. Step 3: Cross multiply
    970,194.38x = 2,040,926.63 × 2,040,926.63
  4. Step 4: Simplify right side
    970,194.38x = 4,165,381,488,633.89
  5. Step 5: Solve for x
    x = 4,165,381,488,633.89/970,194.38
  6. Step 6: Final answer
    x = 4,293,347.39

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