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Finding the Third Proportional to 681,133.50 and 1,480,167

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Solution

The third proportional to 681,133.50 and 1,480,167 is: 3,216,541.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,133.50 : 1,480,167 = 1,480,167 : x
  2. Step 2: Convert to fraction form
    681,133.50/1,480,167 = 1,480,167/x
  3. Step 3: Cross multiply
    681,133.50x = 1,480,167 × 1,480,167
  4. Step 4: Simplify right side
    681,133.50x = 2,190,894,347,889
  5. Step 5: Solve for x
    x = 2,190,894,347,889/681,133.50
  6. Step 6: Final answer
    x = 3,216,541.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.