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Finding the Third Proportional to 1,970,104 and 4,313,884

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Solution

The third proportional to 1,970,104 and 4,313,884 is: 9,445,996.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970,104 : 4,313,884 = 4,313,884 : x
  2. Step 2: Convert to fraction form
    1,970,104/4,313,884 = 4,313,884/x
  3. Step 3: Cross multiply
    1,970,104x = 4,313,884 × 4,313,884
  4. Step 4: Simplify right side
    1,970,104x = 18,609,595,165,456
  5. Step 5: Solve for x
    x = 18,609,595,165,456/1,970,104
  6. Step 6: Final answer
    x = 9,445,996.34

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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.