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Finding the Third Proportional to 594,443 and 1,285,843

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Solution

The third proportional to 594,443 and 1,285,843 is: 2,781,414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,443 : 1,285,843 = 1,285,843 : x
  2. Step 2: Convert to fraction form
    594,443/1,285,843 = 1,285,843/x
  3. Step 3: Cross multiply
    594,443x = 1,285,843 × 1,285,843
  4. Step 4: Simplify right side
    594,443x = 1,653,392,220,649
  5. Step 5: Solve for x
    x = 1,653,392,220,649/594,443
  6. Step 6: Final answer
    x = 2,781,414.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.