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Finding the Third Proportional to 825,113.25 and 1,312,917

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Solution

The third proportional to 825,113.25 and 1,312,917 is: 2,089,108.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,113.25 : 1,312,917 = 1,312,917 : x
  2. Step 2: Convert to fraction form
    825,113.25/1,312,917 = 1,312,917/x
  3. Step 3: Cross multiply
    825,113.25x = 1,312,917 × 1,312,917
  4. Step 4: Simplify right side
    825,113.25x = 1,723,751,048,889
  5. Step 5: Solve for x
    x = 1,723,751,048,889/825,113.25
  6. Step 6: Final answer
    x = 2,089,108.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.