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Finding the Third Proportional to 508,738.22 and 1,091,234.53

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Solution

The third proportional to 508,738.22 and 1,091,234.53 is: 2,340,678.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,738.22 : 1,091,234.53 = 1,091,234.53 : x
  2. Step 2: Convert to fraction form
    508,738.22/1,091,234.53 = 1,091,234.53/x
  3. Step 3: Cross multiply
    508,738.22x = 1,091,234.53 × 1,091,234.53
  4. Step 4: Simplify right side
    508,738.22x = 1,190,792,802,192.41
  5. Step 5: Solve for x
    x = 1,190,792,802,192.41/508,738.22
  6. Step 6: Final answer
    x = 2,340,678.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.