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Finding the Third Proportional to 420,924.94 and 923,342.63

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Solution

The third proportional to 420,924.94 and 923,342.63 is: 2,025,448.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,924.94 : 923,342.63 = 923,342.63 : x
  2. Step 2: Convert to fraction form
    420,924.94/923,342.63 = 923,342.63/x
  3. Step 3: Cross multiply
    420,924.94x = 923,342.63 × 923,342.63
  4. Step 4: Simplify right side
    420,924.94x = 852,561,603,141.89
  5. Step 5: Solve for x
    x = 852,561,603,141.89/420,924.94
  6. Step 6: Final answer
    x = 2,025,448.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.