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Finding the Third Proportional to 423,933.75 and 921,493.13

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Solution

The third proportional to 423,933.75 and 921,493.13 is: 2,003,024.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,933.75 : 921,493.13 = 921,493.13 : x
  2. Step 2: Convert to fraction form
    423,933.75/921,493.13 = 921,493.13/x
  3. Step 3: Cross multiply
    423,933.75x = 921,493.13 × 921,493.13
  4. Step 4: Simplify right side
    423,933.75x = 849,149,579,422.27
  5. Step 5: Solve for x
    x = 849,149,579,422.27/423,933.75
  6. Step 6: Final answer
    x = 2,003,024.24

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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.