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Finding the Third Proportional to 840,278 and 1,843,828

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Solution

The third proportional to 840,278 and 1,843,828 is: 4,045,924.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,278 : 1,843,828 = 1,843,828 : x
  2. Step 2: Convert to fraction form
    840,278/1,843,828 = 1,843,828/x
  3. Step 3: Cross multiply
    840,278x = 1,843,828 × 1,843,828
  4. Step 4: Simplify right side
    840,278x = 3,399,701,693,584
  5. Step 5: Solve for x
    x = 3,399,701,693,584/840,278
  6. Step 6: Final answer
    x = 4,045,924.91

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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.