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Finding the Third Proportional to 1,729,370.25 and 2,599,614

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Solution

The third proportional to 1,729,370.25 and 2,599,614 is: 3,907,776.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729,370.25 : 2,599,614 = 2,599,614 : x
  2. Step 2: Convert to fraction form
    1,729,370.25/2,599,614 = 2,599,614/x
  3. Step 3: Cross multiply
    1,729,370.25x = 2,599,614 × 2,599,614
  4. Step 4: Simplify right side
    1,729,370.25x = 6,757,992,948,996
  5. Step 5: Solve for x
    x = 6,757,992,948,996/1,729,370.25
  6. Step 6: Final answer
    x = 3,907,776.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.