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Finding the Third Proportional to 1,631,024 and 3,410,764

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Solution

The third proportional to 1,631,024 and 3,410,764 is: 7,132,519.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631,024 : 3,410,764 = 3,410,764 : x
  2. Step 2: Convert to fraction form
    1,631,024/3,410,764 = 3,410,764/x
  3. Step 3: Cross multiply
    1,631,024x = 3,410,764 × 3,410,764
  4. Step 4: Simplify right side
    1,631,024x = 11,633,311,063,696
  5. Step 5: Solve for x
    x = 11,633,311,063,696/1,631,024
  6. Step 6: Final answer
    x = 7,132,519.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.