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Finding the Third Proportional to 1,690,231.75 and 3,985,968

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Solution

The third proportional to 1,690,231.75 and 3,985,968 is: 9,399,859.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690,231.75 : 3,985,968 = 3,985,968 : x
  2. Step 2: Convert to fraction form
    1,690,231.75/3,985,968 = 3,985,968/x
  3. Step 3: Cross multiply
    1,690,231.75x = 3,985,968 × 3,985,968
  4. Step 4: Simplify right side
    1,690,231.75x = 15,887,940,897,024
  5. Step 5: Solve for x
    x = 15,887,940,897,024/1,690,231.75
  6. Step 6: Final answer
    x = 9,399,859.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.