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Finding the Third Proportional to 449,097.75 and 973,738.13

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Solution

The third proportional to 449,097.75 and 973,738.13 is: 2,111,268.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,097.75 : 973,738.13 = 973,738.13 : x
  2. Step 2: Convert to fraction form
    449,097.75/973,738.13 = 973,738.13/x
  3. Step 3: Cross multiply
    449,097.75x = 973,738.13 × 973,738.13
  4. Step 4: Simplify right side
    449,097.75x = 948,165,936,078.52
  5. Step 5: Solve for x
    x = 948,165,936,078.52/449,097.75
  6. Step 6: Final answer
    x = 2,111,268.51

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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.