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Finding the Third Proportional to 494,534 and 1,059,052

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Solution

The third proportional to 494,534 and 1,059,052 is: 2,267,975.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,534 : 1,059,052 = 1,059,052 : x
  2. Step 2: Convert to fraction form
    494,534/1,059,052 = 1,059,052/x
  3. Step 3: Cross multiply
    494,534x = 1,059,052 × 1,059,052
  4. Step 4: Simplify right side
    494,534x = 1,121,591,138,704
  5. Step 5: Solve for x
    x = 1,121,591,138,704/494,534
  6. Step 6: Final answer
    x = 2,267,975.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.