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Finding the Third Proportional to 913,791.75 and 1,980,126.75

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Solution

The third proportional to 913,791.75 and 1,980,126.75 is: 4,290,804.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,791.75 : 1,980,126.75 = 1,980,126.75 : x
  2. Step 2: Convert to fraction form
    913,791.75/1,980,126.75 = 1,980,126.75/x
  3. Step 3: Cross multiply
    913,791.75x = 1,980,126.75 × 1,980,126.75
  4. Step 4: Simplify right side
    913,791.75x = 3,920,901,946,065.56
  5. Step 5: Solve for x
    x = 3,920,901,946,065.56/913,791.75
  6. Step 6: Final answer
    x = 4,290,804.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.