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Finding the Third Proportional to 3,789,738 and 5,825,178

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Solution

The third proportional to 3,789,738 and 5,825,178 is: 8,953,837.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789,738 : 5,825,178 = 5,825,178 : x
  2. Step 2: Convert to fraction form
    3,789,738/5,825,178 = 5,825,178/x
  3. Step 3: Cross multiply
    3,789,738x = 5,825,178 × 5,825,178
  4. Step 4: Simplify right side
    3,789,738x = 33,932,698,731,684
  5. Step 5: Solve for x
    x = 33,932,698,731,684/3,789,738
  6. Step 6: Final answer
    x = 8,953,837.64

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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.