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Finding the Third Proportional to 3,531,984 and 5,467,752

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Solution

The third proportional to 3,531,984 and 5,467,752 is: 8,464,452.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531,984 : 5,467,752 = 5,467,752 : x
  2. Step 2: Convert to fraction form
    3,531,984/5,467,752 = 5,467,752/x
  3. Step 3: Cross multiply
    3,531,984x = 5,467,752 × 5,467,752
  4. Step 4: Simplify right side
    3,531,984x = 29,896,311,933,504
  5. Step 5: Solve for x
    x = 29,896,311,933,504/3,531,984
  6. Step 6: Final answer
    x = 8,464,452.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.