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Finding the Third Proportional to 4,195,782.94 and 6,479,022.94

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Solution

The third proportional to 4,195,782.94 and 6,479,022.94 is: 10,004,744.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195,782.94 : 6,479,022.94 = 6,479,022.94 : x
  2. Step 2: Convert to fraction form
    4,195,782.94/6,479,022.94 = 6,479,022.94/x
  3. Step 3: Cross multiply
    4,195,782.94x = 6,479,022.94 × 6,479,022.94
  4. Step 4: Simplify right side
    4,195,782.94x = 41,977,738,224,651.12
  5. Step 5: Solve for x
    x = 41,977,738,224,651.12/4,195,782.94
  6. Step 6: Final answer
    x = 10,004,744.97

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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.