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Finding the Third Proportional to 1,739,534 and 2,449,641

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Solution

The third proportional to 1,739,534 and 2,449,641 is: 3,449,625.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739,534 : 2,449,641 = 2,449,641 : x
  2. Step 2: Convert to fraction form
    1,739,534/2,449,641 = 2,449,641/x
  3. Step 3: Cross multiply
    1,739,534x = 2,449,641 × 2,449,641
  4. Step 4: Simplify right side
    1,739,534x = 6,000,741,028,881
  5. Step 5: Solve for x
    x = 6,000,741,028,881/1,739,534
  6. Step 6: Final answer
    x = 3,449,625.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.