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Finding the Third Proportional to 938,016 and 1,909,152

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Solution

The third proportional to 938,016 and 1,909,152 is: 3,885,713.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,016 : 1,909,152 = 1,909,152 : x
  2. Step 2: Convert to fraction form
    938,016/1,909,152 = 1,909,152/x
  3. Step 3: Cross multiply
    938,016x = 1,909,152 × 1,909,152
  4. Step 4: Simplify right side
    938,016x = 3,644,861,359,104
  5. Step 5: Solve for x
    x = 3,644,861,359,104/938,016
  6. Step 6: Final answer
    x = 3,885,713.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.