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Finding the Third Proportional to 2,100,540 and 4,609,536

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Solution

The third proportional to 2,100,540 and 4,609,536 is: 10,115,409.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100,540 : 4,609,536 = 4,609,536 : x
  2. Step 2: Convert to fraction form
    2,100,540/4,609,536 = 4,609,536/x
  3. Step 3: Cross multiply
    2,100,540x = 4,609,536 × 4,609,536
  4. Step 4: Simplify right side
    2,100,540x = 21,247,822,135,296
  5. Step 5: Solve for x
    x = 21,247,822,135,296/2,100,540
  6. Step 6: Final answer
    x = 10,115,409.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.