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Finding the Third Proportional to 986,442.75 and 2,050,395.75

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Solution

The third proportional to 986,442.75 and 2,050,395.75 is: 4,261,902.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,442.75 : 2,050,395.75 = 2,050,395.75 : x
  2. Step 2: Convert to fraction form
    986,442.75/2,050,395.75 = 2,050,395.75/x
  3. Step 3: Cross multiply
    986,442.75x = 2,050,395.75 × 2,050,395.75
  4. Step 4: Simplify right side
    986,442.75x = 4,204,122,731,618.06
  5. Step 5: Solve for x
    x = 4,204,122,731,618.06/986,442.75
  6. Step 6: Final answer
    x = 4,261,902.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.