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Finding the Third Proportional to 1,589,436 and 3,474,085.50

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Solution

The third proportional to 1,589,436 and 3,474,085.50 is: 7,593,429.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589,436 : 3,474,085.50 = 3,474,085.50 : x
  2. Step 2: Convert to fraction form
    1,589,436/3,474,085.50 = 3,474,085.50/x
  3. Step 3: Cross multiply
    1,589,436x = 3,474,085.50 × 3,474,085.50
  4. Step 4: Simplify right side
    1,589,436x = 12,069,270,061,310.25
  5. Step 5: Solve for x
    x = 12,069,270,061,310.25/1,589,436
  6. Step 6: Final answer
    x = 7,593,429.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.