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Finding the Third Proportional to 840,186 and 1,843,668

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Solution

The third proportional to 840,186 and 1,843,668 is: 4,045,665.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,186 : 1,843,668 = 1,843,668 : x
  2. Step 2: Convert to fraction form
    840,186/1,843,668 = 1,843,668/x
  3. Step 3: Cross multiply
    840,186x = 1,843,668 × 1,843,668
  4. Step 4: Simplify right side
    840,186x = 3,399,111,694,224
  5. Step 5: Solve for x
    x = 3,399,111,694,224/840,186
  6. Step 6: Final answer
    x = 4,045,665.71

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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.