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Finding the Third Proportional to 3,789,596.81 and 5,824,942.88

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Solution

The third proportional to 3,789,596.81 and 5,824,942.88 is: 8,953,448.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789,596.81 : 5,824,942.88 = 5,824,942.88 : x
  2. Step 2: Convert to fraction form
    3,789,596.81/5,824,942.88 = 5,824,942.88/x
  3. Step 3: Cross multiply
    3,789,596.81x = 5,824,942.88 × 5,824,942.88
  4. Step 4: Simplify right side
    3,789,596.81x = 33,929,959,497,013.27
  5. Step 5: Solve for x
    x = 33,929,959,497,013.27/3,789,596.81
  6. Step 6: Final answer
    x = 8,953,448.39

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1.5x scale

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.