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Finding the Third Proportional to 751,788 and 1,565,780

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Solution

The third proportional to 751,788 and 1,565,780 is: 3,261,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,788 : 1,565,780 = 1,565,780 : x
  2. Step 2: Convert to fraction form
    751,788/1,565,780 = 1,565,780/x
  3. Step 3: Cross multiply
    751,788x = 1,565,780 × 1,565,780
  4. Step 4: Simplify right side
    751,788x = 2,451,667,008,400
  5. Step 5: Solve for x
    x = 2,451,667,008,400/751,788
  6. Step 6: Final answer
    x = 3,261,114.85

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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.