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Finding the Third Proportional to 436,644 and 940,032

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Solution

The third proportional to 436,644 and 940,032 is: 2,023,754.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,644 : 940,032 = 940,032 : x
  2. Step 2: Convert to fraction form
    436,644/940,032 = 940,032/x
  3. Step 3: Cross multiply
    436,644x = 940,032 × 940,032
  4. Step 4: Simplify right side
    436,644x = 883,660,161,024
  5. Step 5: Solve for x
    x = 883,660,161,024/436,644
  6. Step 6: Final answer
    x = 2,023,754.27

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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.