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Finding the Third Proportional to 573,162.33 and 1,214,600.06

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Solution

The third proportional to 573,162.33 and 1,214,600.06 is: 2,573,883.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,162.33 : 1,214,600.06 = 1,214,600.06 : x
  2. Step 2: Convert to fraction form
    573,162.33/1,214,600.06 = 1,214,600.06/x
  3. Step 3: Cross multiply
    573,162.33x = 1,214,600.06 × 1,214,600.06
  4. Step 4: Simplify right side
    573,162.33x = 1,475,253,311,825.00
  5. Step 5: Solve for x
    x = 1,475,253,311,825.00/573,162.33
  6. Step 6: Final answer
    x = 2,573,883.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.