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Finding the Third Proportional to 552,924 and 1,204,182

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Solution

The third proportional to 552,924 and 1,204,182 is: 2,622,520.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,924 : 1,204,182 = 1,204,182 : x
  2. Step 2: Convert to fraction form
    552,924/1,204,182 = 1,204,182/x
  3. Step 3: Cross multiply
    552,924x = 1,204,182 × 1,204,182
  4. Step 4: Simplify right side
    552,924x = 1,450,054,289,124
  5. Step 5: Solve for x
    x = 1,450,054,289,124/552,924
  6. Step 6: Final answer
    x = 2,622,520.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.