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Finding the Third Proportional to 675,409 and 1,027,039

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Solution

The third proportional to 675,409 and 1,027,039 is: 1,561,733.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,409 : 1,027,039 = 1,027,039 : x
  2. Step 2: Convert to fraction form
    675,409/1,027,039 = 1,027,039/x
  3. Step 3: Cross multiply
    675,409x = 1,027,039 × 1,027,039
  4. Step 4: Simplify right side
    675,409x = 1,054,809,107,521
  5. Step 5: Solve for x
    x = 1,054,809,107,521/675,409
  6. Step 6: Final answer
    x = 1,561,733.86

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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.