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Finding the Third Proportional to 449,274.01 and 967,054.33

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Solution

The third proportional to 449,274.01 and 967,054.33 is: 2,081,567.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,274.01 : 967,054.33 = 967,054.33 : x
  2. Step 2: Convert to fraction form
    449,274.01/967,054.33 = 967,054.33/x
  3. Step 3: Cross multiply
    449,274.01x = 967,054.33 × 967,054.33
  4. Step 4: Simplify right side
    449,274.01x = 935,194,082,989.16
  5. Step 5: Solve for x
    x = 935,194,082,989.16/449,274.01
  6. Step 6: Final answer
    x = 2,081,567.27

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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.