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Finding the Third Proportional to 519,052 and 1,126,232

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Solution

The third proportional to 519,052 and 1,126,232 is: 2,443,682.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,052 : 1,126,232 = 1,126,232 : x
  2. Step 2: Convert to fraction form
    519,052/1,126,232 = 1,126,232/x
  3. Step 3: Cross multiply
    519,052x = 1,126,232 × 1,126,232
  4. Step 4: Simplify right side
    519,052x = 1,268,398,517,824
  5. Step 5: Solve for x
    x = 1,268,398,517,824/519,052
  6. Step 6: Final answer
    x = 2,443,682.94

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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.