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Finding the Third Proportional to 592,758 and 919,548

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Solution

The third proportional to 592,758 and 919,548 is: 1,426,498.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,758 : 919,548 = 919,548 : x
  2. Step 2: Convert to fraction form
    592,758/919,548 = 919,548/x
  3. Step 3: Cross multiply
    592,758x = 919,548 × 919,548
  4. Step 4: Simplify right side
    592,758x = 845,568,524,304
  5. Step 5: Solve for x
    x = 845,568,524,304/592,758
  6. Step 6: Final answer
    x = 1,426,498.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.