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Finding the Third Proportional to 552,837 and 1,205,724

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Solution

The third proportional to 552,837 and 1,205,724 is: 2,629,654.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,837 : 1,205,724 = 1,205,724 : x
  2. Step 2: Convert to fraction form
    552,837/1,205,724 = 1,205,724/x
  3. Step 3: Cross multiply
    552,837x = 1,205,724 × 1,205,724
  4. Step 4: Simplify right side
    552,837x = 1,453,770,364,176
  5. Step 5: Solve for x
    x = 1,453,770,364,176/552,837
  6. Step 6: Final answer
    x = 2,629,654.61

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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.