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Finding the Third Proportional to 520,069 and 1,135,848

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Solution

The third proportional to 520,069 and 1,135,848 is: 2,480,729.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,069 : 1,135,848 = 1,135,848 : x
  2. Step 2: Convert to fraction form
    520,069/1,135,848 = 1,135,848/x
  3. Step 3: Cross multiply
    520,069x = 1,135,848 × 1,135,848
  4. Step 4: Simplify right side
    520,069x = 1,290,150,679,104
  5. Step 5: Solve for x
    x = 1,290,150,679,104/520,069
  6. Step 6: Final answer
    x = 2,480,729.82

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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.