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Finding the Third Proportional to 3,780,170 and 5,810,255

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Solution

The third proportional to 3,780,170 and 5,810,255 is: 8,930,567.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780,170 : 5,810,255 = 5,810,255 : x
  2. Step 2: Convert to fraction form
    3,780,170/5,810,255 = 5,810,255/x
  3. Step 3: Cross multiply
    3,780,170x = 5,810,255 × 5,810,255
  4. Step 4: Simplify right side
    3,780,170x = 33,759,063,165,025
  5. Step 5: Solve for x
    x = 33,759,063,165,025/3,780,170
  6. Step 6: Final answer
    x = 8,930,567.45

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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.