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Finding the Third Proportional to 733,671 and 1,093,737

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Solution

The third proportional to 733,671 and 1,093,737 is: 1,630,513.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,671 : 1,093,737 = 1,093,737 : x
  2. Step 2: Convert to fraction form
    733,671/1,093,737 = 1,093,737/x
  3. Step 3: Cross multiply
    733,671x = 1,093,737 × 1,093,737
  4. Step 4: Simplify right side
    733,671x = 1,196,260,625,169
  5. Step 5: Solve for x
    x = 1,196,260,625,169/733,671
  6. Step 6: Final answer
    x = 1,630,513.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.