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Finding the Third Proportional to 449,208.28 and 973,108.69

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Solution

The third proportional to 449,208.28 and 973,108.69 is: 2,108,021.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,208.28 : 973,108.69 = 973,108.69 : x
  2. Step 2: Convert to fraction form
    449,208.28/973,108.69 = 973,108.69/x
  3. Step 3: Cross multiply
    449,208.28x = 973,108.69 × 973,108.69
  4. Step 4: Simplify right side
    449,208.28x = 946,940,517,687.97
  5. Step 5: Solve for x
    x = 946,940,517,687.97/449,208.28
  6. Step 6: Final answer
    x = 2,108,021.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.