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Finding the Third Proportional to 451,971.37 and 973,129.97

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Solution

The third proportional to 451,971.37 and 973,129.97 is: 2,095,225.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,971.37 : 973,129.97 = 973,129.97 : x
  2. Step 2: Convert to fraction form
    451,971.37/973,129.97 = 973,129.97/x
  3. Step 3: Cross multiply
    451,971.37x = 973,129.97 × 973,129.97
  4. Step 4: Simplify right side
    451,971.37x = 946,981,939,999.42
  5. Step 5: Solve for x
    x = 946,981,939,999.42/451,971.37
  6. Step 6: Final answer
    x = 2,095,225.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.