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Finding the Third Proportional to 3,959,138.25 and 6,120,653.63

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Solution

The third proportional to 3,959,138.25 and 6,120,653.63 is: 9,462,261.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959,138.25 : 6,120,653.63 = 6,120,653.63 : x
  2. Step 2: Convert to fraction form
    3,959,138.25/6,120,653.63 = 6,120,653.63/x
  3. Step 3: Cross multiply
    3,959,138.25x = 6,120,653.63 × 6,120,653.63
  4. Step 4: Simplify right side
    3,959,138.25x = 37,462,400,797,225.64
  5. Step 5: Solve for x
    x = 37,462,400,797,225.64/3,959,138.25
  6. Step 6: Final answer
    x = 9,462,261.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.