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Finding the Third Proportional to 540,760 and 1,251,824

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Solution

The third proportional to 540,760 and 1,251,824 is: 2,897,890.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,760 : 1,251,824 = 1,251,824 : x
  2. Step 2: Convert to fraction form
    540,760/1,251,824 = 1,251,824/x
  3. Step 3: Cross multiply
    540,760x = 1,251,824 × 1,251,824
  4. Step 4: Simplify right side
    540,760x = 1,567,063,326,976
  5. Step 5: Solve for x
    x = 1,567,063,326,976/540,760
  6. Step 6: Final answer
    x = 2,897,890.61

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.