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Finding the Third Proportional to 4,757,974 and 6,782,664

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Solution

The third proportional to 4,757,974 and 6,782,664 is: 9,668,932.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757,974 : 6,782,664 = 6,782,664 : x
  2. Step 2: Convert to fraction form
    4,757,974/6,782,664 = 6,782,664/x
  3. Step 3: Cross multiply
    4,757,974x = 6,782,664 × 6,782,664
  4. Step 4: Simplify right side
    4,757,974x = 46,004,530,936,896
  5. Step 5: Solve for x
    x = 46,004,530,936,896/4,757,974
  6. Step 6: Final answer
    x = 9,668,932.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.