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Finding the Third Proportional to 1,836,618.68 and 4,288,805.24

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Solution

The third proportional to 1,836,618.68 and 4,288,805.24 is: 10,015,062.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836,618.68 : 4,288,805.24 = 4,288,805.24 : x
  2. Step 2: Convert to fraction form
    1,836,618.68/4,288,805.24 = 4,288,805.24/x
  3. Step 3: Cross multiply
    1,836,618.68x = 4,288,805.24 × 4,288,805.24
  4. Step 4: Simplify right side
    1,836,618.68x = 18,393,850,422,168.77
  5. Step 5: Solve for x
    x = 18,393,850,422,168.77/1,836,618.68
  6. Step 6: Final answer
    x = 10,015,062.26

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.