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Finding the Third Proportional to 488,353 and 1,014,134

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Solution

The third proportional to 488,353 and 1,014,134 is: 2,105,992.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,353 : 1,014,134 = 1,014,134 : x
  2. Step 2: Convert to fraction form
    488,353/1,014,134 = 1,014,134/x
  3. Step 3: Cross multiply
    488,353x = 1,014,134 × 1,014,134
  4. Step 4: Simplify right side
    488,353x = 1,028,467,769,956
  5. Step 5: Solve for x
    x = 1,028,467,769,956/488,353
  6. Step 6: Final answer
    x = 2,105,992.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.