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Finding the Third Proportional to 2,468,000 and 5,503,148

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Solution

The third proportional to 2,468,000 and 5,503,148 is: 12,270,922.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468,000 : 5,503,148 = 5,503,148 : x
  2. Step 2: Convert to fraction form
    2,468,000/5,503,148 = 5,503,148/x
  3. Step 3: Cross multiply
    2,468,000x = 5,503,148 × 5,503,148
  4. Step 4: Simplify right side
    2,468,000x = 30,284,637,909,904
  5. Step 5: Solve for x
    x = 30,284,637,909,904/2,468,000
  6. Step 6: Final answer
    x = 12,270,922.98

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.