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Finding the Third Proportional to 449,195.63 and 973,086.75

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Solution

The third proportional to 449,195.63 and 973,086.75 is: 2,107,985.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,195.63 : 973,086.75 = 973,086.75 : x
  2. Step 2: Convert to fraction form
    449,195.63/973,086.75 = 973,086.75/x
  3. Step 3: Cross multiply
    449,195.63x = 973,086.75 × 973,086.75
  4. Step 4: Simplify right side
    449,195.63x = 946,897,823,025.56
  5. Step 5: Solve for x
    x = 946,897,823,025.56/449,195.63
  6. Step 6: Final answer
    x = 2,107,985.41

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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.