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Finding the Third Proportional to 2,523,834 and 5,504,418

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Solution

The third proportional to 2,523,834 and 5,504,418 is: 12,004,996.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523,834 : 5,504,418 = 5,504,418 : x
  2. Step 2: Convert to fraction form
    2,523,834/5,504,418 = 5,504,418/x
  3. Step 3: Cross multiply
    2,523,834x = 5,504,418 × 5,504,418
  4. Step 4: Simplify right side
    2,523,834x = 30,298,617,518,724
  5. Step 5: Solve for x
    x = 30,298,617,518,724/2,523,834
  6. Step 6: Final answer
    x = 12,004,996.18

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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.