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Finding the Third Proportional to 1,744,729 and 2,625,830

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Solution

The third proportional to 1,744,729 and 2,625,830 is: 3,951,893.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744,729 : 2,625,830 = 2,625,830 : x
  2. Step 2: Convert to fraction form
    1,744,729/2,625,830 = 2,625,830/x
  3. Step 3: Cross multiply
    1,744,729x = 2,625,830 × 2,625,830
  4. Step 4: Simplify right side
    1,744,729x = 6,894,983,188,900
  5. Step 5: Solve for x
    x = 6,894,983,188,900/1,744,729
  6. Step 6: Final answer
    x = 3,951,893.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.