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Finding the Third Proportional to 619,337 and 905,107

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Solution

The third proportional to 619,337 and 905,107 is: 1,322,734.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,337 : 905,107 = 905,107 : x
  2. Step 2: Convert to fraction form
    619,337/905,107 = 905,107/x
  3. Step 3: Cross multiply
    619,337x = 905,107 × 905,107
  4. Step 4: Simplify right side
    619,337x = 819,218,681,449
  5. Step 5: Solve for x
    x = 819,218,681,449/619,337
  6. Step 6: Final answer
    x = 1,322,734.93

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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.