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Finding the Third Proportional to 873,969 and 1,180,800

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Solution

The third proportional to 873,969 and 1,180,800 is: 1,595,352.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,969 : 1,180,800 = 1,180,800 : x
  2. Step 2: Convert to fraction form
    873,969/1,180,800 = 1,180,800/x
  3. Step 3: Cross multiply
    873,969x = 1,180,800 × 1,180,800
  4. Step 4: Simplify right side
    873,969x = 1,394,288,640,000
  5. Step 5: Solve for x
    x = 1,394,288,640,000/873,969
  6. Step 6: Final answer
    x = 1,595,352.51

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.