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Finding the Third Proportional to 619,322 and 905,086

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Solution

The third proportional to 619,322 and 905,086 is: 1,322,705.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,322 : 905,086 = 905,086 : x
  2. Step 2: Convert to fraction form
    619,322/905,086 = 905,086/x
  3. Step 3: Cross multiply
    619,322x = 905,086 × 905,086
  4. Step 4: Simplify right side
    619,322x = 819,180,667,396
  5. Step 5: Solve for x
    x = 819,180,667,396/619,322
  6. Step 6: Final answer
    x = 1,322,705.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.