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Finding the Third Proportional to 797,662.69 and 1,197,073.69

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Solution

The third proportional to 797,662.69 and 1,197,073.69 is: 1,796,480.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,662.69 : 1,197,073.69 = 1,197,073.69 : x
  2. Step 2: Convert to fraction form
    797,662.69/1,197,073.69 = 1,197,073.69/x
  3. Step 3: Cross multiply
    797,662.69x = 1,197,073.69 × 1,197,073.69
  4. Step 4: Simplify right side
    797,662.69x = 1,432,985,413,304.85
  5. Step 5: Solve for x
    x = 1,432,985,413,304.85/797,662.69
  6. Step 6: Final answer
    x = 1,796,480.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.