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Finding the Third Proportional to 797,744 and 1,184,079

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Solution

The third proportional to 797,744 and 1,184,079 is: 1,757,510.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,744 : 1,184,079 = 1,184,079 : x
  2. Step 2: Convert to fraction form
    797,744/1,184,079 = 1,184,079/x
  3. Step 3: Cross multiply
    797,744x = 1,184,079 × 1,184,079
  4. Step 4: Simplify right side
    797,744x = 1,402,043,078,241
  5. Step 5: Solve for x
    x = 1,402,043,078,241/797,744
  6. Step 6: Final answer
    x = 1,757,510.03

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.