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Finding the Third Proportional to 424,789.51 and 923,534.43

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Solution

The third proportional to 424,789.51 and 923,534.43 is: 2,007,855.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,789.51 : 923,534.43 = 923,534.43 : x
  2. Step 2: Convert to fraction form
    424,789.51/923,534.43 = 923,534.43/x
  3. Step 3: Cross multiply
    424,789.51x = 923,534.43 × 923,534.43
  4. Step 4: Simplify right side
    424,789.51x = 852,915,849,131.37
  5. Step 5: Solve for x
    x = 852,915,849,131.37/424,789.51
  6. Step 6: Final answer
    x = 2,007,855.25

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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.