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Finding the Third Proportional to 616,986 and 1,251,144

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Solution

The third proportional to 616,986 and 1,251,144 is: 2,537,109.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,986 : 1,251,144 = 1,251,144 : x
  2. Step 2: Convert to fraction form
    616,986/1,251,144 = 1,251,144/x
  3. Step 3: Cross multiply
    616,986x = 1,251,144 × 1,251,144
  4. Step 4: Simplify right side
    616,986x = 1,565,361,308,736
  5. Step 5: Solve for x
    x = 1,565,361,308,736/616,986
  6. Step 6: Final answer
    x = 2,537,109.93

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.