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Finding the Third Proportional to 681,321.38 and 1,433,234.25

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Solution

The third proportional to 681,321.38 and 1,433,234.25 is: 3,014,965.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,321.38 : 1,433,234.25 = 1,433,234.25 : x
  2. Step 2: Convert to fraction form
    681,321.38/1,433,234.25 = 1,433,234.25/x
  3. Step 3: Cross multiply
    681,321.38x = 1,433,234.25 × 1,433,234.25
  4. Step 4: Simplify right side
    681,321.38x = 2,054,160,415,373.06
  5. Step 5: Solve for x
    x = 2,054,160,415,373.06/681,321.38
  6. Step 6: Final answer
    x = 3,014,965.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.