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Finding the Third Proportional to 538,926 and 898,245

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Solution

The third proportional to 538,926 and 898,245 is: 1,497,133.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,926 : 898,245 = 898,245 : x
  2. Step 2: Convert to fraction form
    538,926/898,245 = 898,245/x
  3. Step 3: Cross multiply
    538,926x = 898,245 × 898,245
  4. Step 4: Simplify right side
    538,926x = 806,844,080,025
  5. Step 5: Solve for x
    x = 806,844,080,025/538,926
  6. Step 6: Final answer
    x = 1,497,133.34

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.