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Finding the Third Proportional to 573,969 and 1,251,279

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Solution

The third proportional to 573,969 and 1,251,279 is: 2,727,846.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,969 : 1,251,279 = 1,251,279 : x
  2. Step 2: Convert to fraction form
    573,969/1,251,279 = 1,251,279/x
  3. Step 3: Cross multiply
    573,969x = 1,251,279 × 1,251,279
  4. Step 4: Simplify right side
    573,969x = 1,565,699,135,841
  5. Step 5: Solve for x
    x = 1,565,699,135,841/573,969
  6. Step 6: Final answer
    x = 2,727,846.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.