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Finding the Third Proportional to 1,739,529 and 2,449,642.50

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Solution

The third proportional to 1,739,529 and 2,449,642.50 is: 3,449,639.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739,529 : 2,449,642.50 = 2,449,642.50 : x
  2. Step 2: Convert to fraction form
    1,739,529/2,449,642.50 = 2,449,642.50/x
  3. Step 3: Cross multiply
    1,739,529x = 2,449,642.50 × 2,449,642.50
  4. Step 4: Simplify right side
    1,739,529x = 6,000,748,377,806.25
  5. Step 5: Solve for x
    x = 6,000,748,377,806.25/1,739,529
  6. Step 6: Final answer
    x = 3,449,639.75

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