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Finding the Third Proportional to 1,504,258.50 and 3,218,469

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Solution

The third proportional to 1,504,258.50 and 3,218,469 is: 6,886,145.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504,258.50 : 3,218,469 = 3,218,469 : x
  2. Step 2: Convert to fraction form
    1,504,258.50/3,218,469 = 3,218,469/x
  3. Step 3: Cross multiply
    1,504,258.50x = 3,218,469 × 3,218,469
  4. Step 4: Simplify right side
    1,504,258.50x = 10,358,542,703,961
  5. Step 5: Solve for x
    x = 10,358,542,703,961/1,504,258.50
  6. Step 6: Final answer
    x = 6,886,145.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.