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Finding the Third Proportional to 797,816.25 and 1,197,288

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Solution

The third proportional to 797,816.25 and 1,197,288 is: 1,796,777.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,816.25 : 1,197,288 = 1,197,288 : x
  2. Step 2: Convert to fraction form
    797,816.25/1,197,288 = 1,197,288/x
  3. Step 3: Cross multiply
    797,816.25x = 1,197,288 × 1,197,288
  4. Step 4: Simplify right side
    797,816.25x = 1,433,498,554,944
  5. Step 5: Solve for x
    x = 1,433,498,554,944/797,816.25
  6. Step 6: Final answer
    x = 1,796,777.84

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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.