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Finding the Third Proportional to 508,743 and 1,091,244

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Solution

The third proportional to 508,743 and 1,091,244 is: 2,340,697.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,743 : 1,091,244 = 1,091,244 : x
  2. Step 2: Convert to fraction form
    508,743/1,091,244 = 1,091,244/x
  3. Step 3: Cross multiply
    508,743x = 1,091,244 × 1,091,244
  4. Step 4: Simplify right side
    508,743x = 1,190,813,467,536
  5. Step 5: Solve for x
    x = 1,190,813,467,536/508,743
  6. Step 6: Final answer
    x = 2,340,697.50

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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.