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Finding the Third Proportional to 519,768 and 1,138,824

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Solution

The third proportional to 519,768 and 1,138,824 is: 2,495,190.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,768 : 1,138,824 = 1,138,824 : x
  2. Step 2: Convert to fraction form
    519,768/1,138,824 = 1,138,824/x
  3. Step 3: Cross multiply
    519,768x = 1,138,824 × 1,138,824
  4. Step 4: Simplify right side
    519,768x = 1,296,920,102,976
  5. Step 5: Solve for x
    x = 1,296,920,102,976/519,768
  6. Step 6: Final answer
    x = 2,495,190.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.