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Finding the Third Proportional to 501,398 and 1,094,256

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Solution

The third proportional to 501,398 and 1,094,256 is: 2,388,115.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,398 : 1,094,256 = 1,094,256 : x
  2. Step 2: Convert to fraction form
    501,398/1,094,256 = 1,094,256/x
  3. Step 3: Cross multiply
    501,398x = 1,094,256 × 1,094,256
  4. Step 4: Simplify right side
    501,398x = 1,197,396,193,536
  5. Step 5: Solve for x
    x = 1,197,396,193,536/501,398
  6. Step 6: Final answer
    x = 2,388,115.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.