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Finding the Third Proportional to 1,978,673.06 and 4,336,107.19

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Solution

The third proportional to 1,978,673.06 and 4,336,107.19 is: 9,502,239.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978,673.06 : 4,336,107.19 = 4,336,107.19 : x
  2. Step 2: Convert to fraction form
    1,978,673.06/4,336,107.19 = 4,336,107.19/x
  3. Step 3: Cross multiply
    1,978,673.06x = 4,336,107.19 × 4,336,107.19
  4. Step 4: Simplify right side
    1,978,673.06x = 18,801,825,541,489.16
  5. Step 5: Solve for x
    x = 18,801,825,541,489.16/1,978,673.06
  6. Step 6: Final answer
    x = 9,502,239.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.