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Finding the Third Proportional to 1,410,218 and 2,749,588

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Solution

The third proportional to 1,410,218 and 2,749,588 is: 5,361,039.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,218 : 2,749,588 = 2,749,588 : x
  2. Step 2: Convert to fraction form
    1,410,218/2,749,588 = 2,749,588/x
  3. Step 3: Cross multiply
    1,410,218x = 2,749,588 × 2,749,588
  4. Step 4: Simplify right side
    1,410,218x = 7,560,234,169,744
  5. Step 5: Solve for x
    x = 7,560,234,169,744/1,410,218
  6. Step 6: Final answer
    x = 5,361,039.34

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.