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Finding the Third Proportional to 519,053 and 1,126,234

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Solution

The third proportional to 519,053 and 1,126,234 is: 2,443,686.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,053 : 1,126,234 = 1,126,234 : x
  2. Step 2: Convert to fraction form
    519,053/1,126,234 = 1,126,234/x
  3. Step 3: Cross multiply
    519,053x = 1,126,234 × 1,126,234
  4. Step 4: Simplify right side
    519,053x = 1,268,403,022,756
  5. Step 5: Solve for x
    x = 1,268,403,022,756/519,053
  6. Step 6: Final answer
    x = 2,443,686.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.