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Finding the Third Proportional to 610,244 and 1,276,256

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Solution

The third proportional to 610,244 and 1,276,256 is: 2,669,144.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,244 : 1,276,256 = 1,276,256 : x
  2. Step 2: Convert to fraction form
    610,244/1,276,256 = 1,276,256/x
  3. Step 3: Cross multiply
    610,244x = 1,276,256 × 1,276,256
  4. Step 4: Simplify right side
    610,244x = 1,628,829,377,536
  5. Step 5: Solve for x
    x = 1,628,829,377,536/610,244
  6. Step 6: Final answer
    x = 2,669,144.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.