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Finding the Third Proportional to 2,203,543 and 4,671,631

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Solution

The third proportional to 2,203,543 and 4,671,631 is: 9,904,111.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203,543 : 4,671,631 = 4,671,631 : x
  2. Step 2: Convert to fraction form
    2,203,543/4,671,631 = 4,671,631/x
  3. Step 3: Cross multiply
    2,203,543x = 4,671,631 × 4,671,631
  4. Step 4: Simplify right side
    2,203,543x = 21,824,136,200,161
  5. Step 5: Solve for x
    x = 21,824,136,200,161/2,203,543
  6. Step 6: Final answer
    x = 9,904,111.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.