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Finding the Third Proportional to 619,820 and 957,067

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Solution

The third proportional to 619,820 and 957,067 is: 1,477,811.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,820 : 957,067 = 957,067 : x
  2. Step 2: Convert to fraction form
    619,820/957,067 = 957,067/x
  3. Step 3: Cross multiply
    619,820x = 957,067 × 957,067
  4. Step 4: Simplify right side
    619,820x = 915,977,242,489
  5. Step 5: Solve for x
    x = 915,977,242,489/619,820
  6. Step 6: Final answer
    x = 1,477,811.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.