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Finding the Third Proportional to 675,425 and 1,027,063

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Solution

The third proportional to 675,425 and 1,027,063 is: 1,561,769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,425 : 1,027,063 = 1,027,063 : x
  2. Step 2: Convert to fraction form
    675,425/1,027,063 = 1,027,063/x
  3. Step 3: Cross multiply
    675,425x = 1,027,063 × 1,027,063
  4. Step 4: Simplify right side
    675,425x = 1,054,858,405,969
  5. Step 5: Solve for x
    x = 1,054,858,405,969/675,425
  6. Step 6: Final answer
    x = 1,561,769.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.