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Finding the Third Proportional to 552,216 and 1,207,824

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Solution

The third proportional to 552,216 and 1,207,824 is: 2,641,790.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,216 : 1,207,824 = 1,207,824 : x
  2. Step 2: Convert to fraction form
    552,216/1,207,824 = 1,207,824/x
  3. Step 3: Cross multiply
    552,216x = 1,207,824 × 1,207,824
  4. Step 4: Simplify right side
    552,216x = 1,458,838,814,976
  5. Step 5: Solve for x
    x = 1,458,838,814,976/552,216
  6. Step 6: Final answer
    x = 2,641,790.20

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Why These Related Problems?

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