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Finding the Third Proportional to 540,772 and 1,251,848

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Solution

The third proportional to 540,772 and 1,251,848 is: 2,897,937.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,772 : 1,251,848 = 1,251,848 : x
  2. Step 2: Convert to fraction form
    540,772/1,251,848 = 1,251,848/x
  3. Step 3: Cross multiply
    540,772x = 1,251,848 × 1,251,848
  4. Step 4: Simplify right side
    540,772x = 1,567,123,415,104
  5. Step 5: Solve for x
    x = 1,567,123,415,104/540,772
  6. Step 6: Final answer
    x = 2,897,937.42

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Why These Related Problems?

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