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Finding the Third Proportional to 2,524,599 and 5,364,308

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Solution

The third proportional to 2,524,599 and 5,364,308 is: 11,398,166.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524,599 : 5,364,308 = 5,364,308 : x
  2. Step 2: Convert to fraction form
    2,524,599/5,364,308 = 5,364,308/x
  3. Step 3: Cross multiply
    2,524,599x = 5,364,308 × 5,364,308
  4. Step 4: Simplify right side
    2,524,599x = 28,775,800,318,864
  5. Step 5: Solve for x
    x = 28,775,800,318,864/2,524,599
  6. Step 6: Final answer
    x = 11,398,166.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.