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Finding the Third Proportional to 567,016 and 1,233,656

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Solution

The third proportional to 567,016 and 1,233,656 is: 2,684,063.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,016 : 1,233,656 = 1,233,656 : x
  2. Step 2: Convert to fraction form
    567,016/1,233,656 = 1,233,656/x
  3. Step 3: Cross multiply
    567,016x = 1,233,656 × 1,233,656
  4. Step 4: Simplify right side
    567,016x = 1,521,907,126,336
  5. Step 5: Solve for x
    x = 1,521,907,126,336/567,016
  6. Step 6: Final answer
    x = 2,684,063.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.