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Finding the Third Proportional to 4,757,944 and 6,782,622

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Solution

The third proportional to 4,757,944 and 6,782,622 is: 9,668,874.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757,944 : 6,782,622 = 6,782,622 : x
  2. Step 2: Convert to fraction form
    4,757,944/6,782,622 = 6,782,622/x
  3. Step 3: Cross multiply
    4,757,944x = 6,782,622 × 6,782,622
  4. Step 4: Simplify right side
    4,757,944x = 46,003,961,194,884
  5. Step 5: Solve for x
    x = 46,003,961,194,884/4,757,944
  6. Step 6: Final answer
    x = 9,668,874.03

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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.