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Finding the Third Proportional to 840,120 and 1,843,542

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Solution

The third proportional to 840,120 and 1,843,542 is: 4,045,430.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,120 : 1,843,542 = 1,843,542 : x
  2. Step 2: Convert to fraction form
    840,120/1,843,542 = 1,843,542/x
  3. Step 3: Cross multiply
    840,120x = 1,843,542 × 1,843,542
  4. Step 4: Simplify right side
    840,120x = 3,398,647,105,764
  5. Step 5: Solve for x
    x = 3,398,647,105,764/840,120
  6. Step 6: Final answer
    x = 4,045,430.54

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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.