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Finding the Third Proportional to 512,694 and 1,122,042

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Solution

The third proportional to 512,694 and 1,122,042 is: 2,455,613.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,694 : 1,122,042 = 1,122,042 : x
  2. Step 2: Convert to fraction form
    512,694/1,122,042 = 1,122,042/x
  3. Step 3: Cross multiply
    512,694x = 1,122,042 × 1,122,042
  4. Step 4: Simplify right side
    512,694x = 1,258,978,249,764
  5. Step 5: Solve for x
    x = 1,258,978,249,764/512,694
  6. Step 6: Final answer
    x = 2,455,613.39

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.