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Finding the Third Proportional to 3,237,567 and 4,677,336

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Solution

The third proportional to 3,237,567 and 4,677,336 is: 6,757,380.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237,567 : 4,677,336 = 4,677,336 : x
  2. Step 2: Convert to fraction form
    3,237,567/4,677,336 = 4,677,336/x
  3. Step 3: Cross multiply
    3,237,567x = 4,677,336 × 4,677,336
  4. Step 4: Simplify right side
    3,237,567x = 21,877,472,056,896
  5. Step 5: Solve for x
    x = 21,877,472,056,896/3,237,567
  6. Step 6: Final answer
    x = 6,757,380.48

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.