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Finding the Third Proportional to 436,032 and 1,019,016

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Solution

The third proportional to 436,032 and 1,019,016 is: 2,381,461.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,032 : 1,019,016 = 1,019,016 : x
  2. Step 2: Convert to fraction form
    436,032/1,019,016 = 1,019,016/x
  3. Step 3: Cross multiply
    436,032x = 1,019,016 × 1,019,016
  4. Step 4: Simplify right side
    436,032x = 1,038,393,608,256
  5. Step 5: Solve for x
    x = 1,038,393,608,256/436,032
  6. Step 6: Final answer
    x = 2,381,461.93

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.