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Finding the Third Proportional to 577,632 and 1,288,079

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Solution

The third proportional to 577,632 and 1,288,079 is: 2,872,326.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,632 : 1,288,079 = 1,288,079 : x
  2. Step 2: Convert to fraction form
    577,632/1,288,079 = 1,288,079/x
  3. Step 3: Cross multiply
    577,632x = 1,288,079 × 1,288,079
  4. Step 4: Simplify right side
    577,632x = 1,659,147,510,241
  5. Step 5: Solve for x
    x = 1,659,147,510,241/577,632
  6. Step 6: Final answer
    x = 2,872,326.17

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.