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Finding the Third Proportional to 1,704,611 and 3,787,591

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Solution

The third proportional to 1,704,611 and 3,787,591 is: 8,415,905.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704,611 : 3,787,591 = 3,787,591 : x
  2. Step 2: Convert to fraction form
    1,704,611/3,787,591 = 3,787,591/x
  3. Step 3: Cross multiply
    1,704,611x = 3,787,591 × 3,787,591
  4. Step 4: Simplify right side
    1,704,611x = 14,345,845,583,281
  5. Step 5: Solve for x
    x = 14,345,845,583,281/1,704,611
  6. Step 6: Final answer
    x = 8,415,905.79

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.