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Finding the Third Proportional to 1,117,992 and 1,580,436

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Solution

The third proportional to 1,117,992 and 1,580,436 is: 2,234,164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117,992 : 1,580,436 = 1,580,436 : x
  2. Step 2: Convert to fraction form
    1,117,992/1,580,436 = 1,580,436/x
  3. Step 3: Cross multiply
    1,117,992x = 1,580,436 × 1,580,436
  4. Step 4: Simplify right side
    1,117,992x = 2,497,777,950,096
  5. Step 5: Solve for x
    x = 2,497,777,950,096/1,117,992
  6. Step 6: Final answer
    x = 2,234,164.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.