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Finding the Third Proportional to 801,703 and 1,669,744

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Solution

The third proportional to 801,703 and 1,669,744 is: 3,477,653.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,703 : 1,669,744 = 1,669,744 : x
  2. Step 2: Convert to fraction form
    801,703/1,669,744 = 1,669,744/x
  3. Step 3: Cross multiply
    801,703x = 1,669,744 × 1,669,744
  4. Step 4: Simplify right side
    801,703x = 2,788,045,025,536
  5. Step 5: Solve for x
    x = 2,788,045,025,536/801,703
  6. Step 6: Final answer
    x = 3,477,653.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.