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Finding the Third Proportional to 496,004 and 1,102,216

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Solution

The third proportional to 496,004 and 1,102,216 is: 2,449,335.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,004 : 1,102,216 = 1,102,216 : x
  2. Step 2: Convert to fraction form
    496,004/1,102,216 = 1,102,216/x
  3. Step 3: Cross multiply
    496,004x = 1,102,216 × 1,102,216
  4. Step 4: Simplify right side
    496,004x = 1,214,880,110,656
  5. Step 5: Solve for x
    x = 1,214,880,110,656/496,004
  6. Step 6: Final answer
    x = 2,449,335.31

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.