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Finding the Third Proportional to 1,743,694.88 and 3,694,820.63

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Solution

The third proportional to 1,743,694.88 and 3,694,820.63 is: 7,829,179.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743,694.88 : 3,694,820.63 = 3,694,820.63 : x
  2. Step 2: Convert to fraction form
    1,743,694.88/3,694,820.63 = 3,694,820.63/x
  3. Step 3: Cross multiply
    1,743,694.88x = 3,694,820.63 × 3,694,820.63
  4. Step 4: Simplify right side
    1,743,694.88x = 13,651,699,450,925.39
  5. Step 5: Solve for x
    x = 13,651,699,450,925.39/1,743,694.88
  6. Step 6: Final answer
    x = 7,829,179.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.