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Finding the Third Proportional to 594,164 and 1,283,027

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Solution

The third proportional to 594,164 and 1,283,027 is: 2,770,545.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,164 : 1,283,027 = 1,283,027 : x
  2. Step 2: Convert to fraction form
    594,164/1,283,027 = 1,283,027/x
  3. Step 3: Cross multiply
    594,164x = 1,283,027 × 1,283,027
  4. Step 4: Simplify right side
    594,164x = 1,646,158,282,729
  5. Step 5: Solve for x
    x = 1,646,158,282,729/594,164
  6. Step 6: Final answer
    x = 2,770,545.31

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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.