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Finding the Third Proportional to 681,673.22 and 1,056,958.88

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Solution

The third proportional to 681,673.22 and 1,056,958.88 is: 1,638,852.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,673.22 : 1,056,958.88 = 1,056,958.88 : x
  2. Step 2: Convert to fraction form
    681,673.22/1,056,958.88 = 1,056,958.88/x
  3. Step 3: Cross multiply
    681,673.22x = 1,056,958.88 × 1,056,958.88
  4. Step 4: Simplify right side
    681,673.22x = 1,117,162,063,441.27
  5. Step 5: Solve for x
    x = 1,117,162,063,441.27/681,673.22
  6. Step 6: Final answer
    x = 1,638,852.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.