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Finding the Third Proportional to 1,073,670.82 and 2,336,253.26

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Solution

The third proportional to 1,073,670.82 and 2,336,253.26 is: 5,083,568.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073,670.82 : 2,336,253.26 = 2,336,253.26 : x
  2. Step 2: Convert to fraction form
    1,073,670.82/2,336,253.26 = 2,336,253.26/x
  3. Step 3: Cross multiply
    1,073,670.82x = 2,336,253.26 × 2,336,253.26
  4. Step 4: Simplify right side
    1,073,670.82x = 5,458,079,284,639.52
  5. Step 5: Solve for x
    x = 5,458,079,284,639.52/1,073,670.82
  6. Step 6: Final answer
    x = 5,083,568.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.