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Finding the Third Proportional to 840,326 and 1,843,912

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Solution

The third proportional to 840,326 and 1,843,912 is: 4,046,062.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,326 : 1,843,912 = 1,843,912 : x
  2. Step 2: Convert to fraction form
    840,326/1,843,912 = 1,843,912/x
  3. Step 3: Cross multiply
    840,326x = 1,843,912 × 1,843,912
  4. Step 4: Simplify right side
    840,326x = 3,400,011,463,744
  5. Step 5: Solve for x
    x = 3,400,011,463,744/840,326
  6. Step 6: Final answer
    x = 4,046,062.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.