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Finding the Third Proportional to 749,272 and 1,605,734

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Solution

The third proportional to 749,272 and 1,605,734 is: 3,441,182.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,272 : 1,605,734 = 1,605,734 : x
  2. Step 2: Convert to fraction form
    749,272/1,605,734 = 1,605,734/x
  3. Step 3: Cross multiply
    749,272x = 1,605,734 × 1,605,734
  4. Step 4: Simplify right side
    749,272x = 2,578,381,678,756
  5. Step 5: Solve for x
    x = 2,578,381,678,756/749,272
  6. Step 6: Final answer
    x = 3,441,182.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.