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Finding the Third Proportional to 611,608.22 and 1,324,014.93

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Solution

The third proportional to 611,608.22 and 1,324,014.93 is: 2,866,239.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,608.22 : 1,324,014.93 = 1,324,014.93 : x
  2. Step 2: Convert to fraction form
    611,608.22/1,324,014.93 = 1,324,014.93/x
  3. Step 3: Cross multiply
    611,608.22x = 1,324,014.93 × 1,324,014.93
  4. Step 4: Simplify right side
    611,608.22x = 1,753,015,523,691.40
  5. Step 5: Solve for x
    x = 1,753,015,523,691.40/611,608.22
  6. Step 6: Final answer
    x = 2,866,239.32

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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.