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Finding the Third Proportional to 1,491,027.75 and 3,219,980.34

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Solution

The third proportional to 1,491,027.75 and 3,219,980.34 is: 6,953,776.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491,027.75 : 3,219,980.34 = 3,219,980.34 : x
  2. Step 2: Convert to fraction form
    1,491,027.75/3,219,980.34 = 3,219,980.34/x
  3. Step 3: Cross multiply
    1,491,027.75x = 3,219,980.34 × 3,219,980.34
  4. Step 4: Simplify right side
    1,491,027.75x = 10,368,273,414,136.37
  5. Step 5: Solve for x
    x = 10,368,273,414,136.37/1,491,027.75
  6. Step 6: Final answer
    x = 6,953,776.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.