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Finding the Third Proportional to 3,780,795 and 5,741,091

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Solution

The third proportional to 3,780,795 and 5,741,091 is: 8,717,776.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780,795 : 5,741,091 = 5,741,091 : x
  2. Step 2: Convert to fraction form
    3,780,795/5,741,091 = 5,741,091/x
  3. Step 3: Cross multiply
    3,780,795x = 5,741,091 × 5,741,091
  4. Step 4: Simplify right side
    3,780,795x = 32,960,125,870,281
  5. Step 5: Solve for x
    x = 32,960,125,870,281/3,780,795
  6. Step 6: Final answer
    x = 8,717,776.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.