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Finding the Third Proportional to 1,043,264 and 2,198,611

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Solution

The third proportional to 1,043,264 and 2,198,611 is: 4,633,429.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043,264 : 2,198,611 = 2,198,611 : x
  2. Step 2: Convert to fraction form
    1,043,264/2,198,611 = 2,198,611/x
  3. Step 3: Cross multiply
    1,043,264x = 2,198,611 × 2,198,611
  4. Step 4: Simplify right side
    1,043,264x = 4,833,890,329,321
  5. Step 5: Solve for x
    x = 4,833,890,329,321/1,043,264
  6. Step 6: Final answer
    x = 4,633,429.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.