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Finding the Third Proportional to 2,433,720 and 3,783,326

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Solution

The third proportional to 2,433,720 and 3,783,326 is: 5,881,348.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433,720 : 3,783,326 = 3,783,326 : x
  2. Step 2: Convert to fraction form
    2,433,720/3,783,326 = 3,783,326/x
  3. Step 3: Cross multiply
    2,433,720x = 3,783,326 × 3,783,326
  4. Step 4: Simplify right side
    2,433,720x = 14,313,555,622,276
  5. Step 5: Solve for x
    x = 14,313,555,622,276/2,433,720
  6. Step 6: Final answer
    x = 5,881,348.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.