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Finding the Third Proportional to 2,409,684 and 5,192,600

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Solution

The third proportional to 2,409,684 and 5,192,600 is: 11,189,473.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409,684 : 5,192,600 = 5,192,600 : x
  2. Step 2: Convert to fraction form
    2,409,684/5,192,600 = 5,192,600/x
  3. Step 3: Cross multiply
    2,409,684x = 5,192,600 × 5,192,600
  4. Step 4: Simplify right side
    2,409,684x = 26,963,094,760,000
  5. Step 5: Solve for x
    x = 26,963,094,760,000/2,409,684
  6. Step 6: Final answer
    x = 11,189,473.29

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.