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Finding the Third Proportional to 496,530 and 1,063,042

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Solution

The third proportional to 496,530 and 1,063,042 is: 2,275,911.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,530 : 1,063,042 = 1,063,042 : x
  2. Step 2: Convert to fraction form
    496,530/1,063,042 = 1,063,042/x
  3. Step 3: Cross multiply
    496,530x = 1,063,042 × 1,063,042
  4. Step 4: Simplify right side
    496,530x = 1,130,058,293,764
  5. Step 5: Solve for x
    x = 1,130,058,293,764/496,530
  6. Step 6: Final answer
    x = 2,275,911.41

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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.