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Finding the Third Proportional to 1,213,152 and 2,524,800

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Solution

The third proportional to 1,213,152 and 2,524,800 is: 5,254,588.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213,152 : 2,524,800 = 2,524,800 : x
  2. Step 2: Convert to fraction form
    1,213,152/2,524,800 = 2,524,800/x
  3. Step 3: Cross multiply
    1,213,152x = 2,524,800 × 2,524,800
  4. Step 4: Simplify right side
    1,213,152x = 6,374,615,040,000
  5. Step 5: Solve for x
    x = 6,374,615,040,000/1,213,152
  6. Step 6: Final answer
    x = 5,254,588.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.