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Finding the Third Proportional to 2,382,024 and 5,192,336

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Solution

The third proportional to 2,382,024 and 5,192,336 is: 11,318,254.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382,024 : 5,192,336 = 5,192,336 : x
  2. Step 2: Convert to fraction form
    2,382,024/5,192,336 = 5,192,336/x
  3. Step 3: Cross multiply
    2,382,024x = 5,192,336 × 5,192,336
  4. Step 4: Simplify right side
    2,382,024x = 26,960,353,136,896
  5. Step 5: Solve for x
    x = 26,960,353,136,896/2,382,024
  6. Step 6: Final answer
    x = 11,318,254.20

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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.