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Finding the Third Proportional to 490,179 and 1,025,247

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Solution

The third proportional to 490,179 and 1,025,247 is: 2,144,382.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,179 : 1,025,247 = 1,025,247 : x
  2. Step 2: Convert to fraction form
    490,179/1,025,247 = 1,025,247/x
  3. Step 3: Cross multiply
    490,179x = 1,025,247 × 1,025,247
  4. Step 4: Simplify right side
    490,179x = 1,051,131,411,009
  5. Step 5: Solve for x
    x = 1,051,131,411,009/490,179
  6. Step 6: Final answer
    x = 2,144,382.79

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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.