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Finding the Third Proportional to 512,026 and 1,102,524

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Solution

The third proportional to 512,026 and 1,102,524 is: 2,374,018.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,026 : 1,102,524 = 1,102,524 : x
  2. Step 2: Convert to fraction form
    512,026/1,102,524 = 1,102,524/x
  3. Step 3: Cross multiply
    512,026x = 1,102,524 × 1,102,524
  4. Step 4: Simplify right side
    512,026x = 1,215,559,170,576
  5. Step 5: Solve for x
    x = 1,215,559,170,576/512,026
  6. Step 6: Final answer
    x = 2,374,018.45

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Why These Related Problems?

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