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Finding the Third Proportional to 700,467.75 and 1,460,674.69

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Solution

The third proportional to 700,467.75 and 1,460,674.69 is: 3,045,922.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,467.75 : 1,460,674.69 = 1,460,674.69 : x
  2. Step 2: Convert to fraction form
    700,467.75/1,460,674.69 = 1,460,674.69/x
  3. Step 3: Cross multiply
    700,467.75x = 1,460,674.69 × 1,460,674.69
  4. Step 4: Simplify right side
    700,467.75x = 2,133,570,542,703.22
  5. Step 5: Solve for x
    x = 2,133,570,542,703.22/700,467.75
  6. Step 6: Final answer
    x = 3,045,922.59

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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.