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Finding the Third Proportional to 733,884 and 1,122,706

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Solution

The third proportional to 733,884 and 1,122,706 is: 1,717,531.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,884 : 1,122,706 = 1,122,706 : x
  2. Step 2: Convert to fraction form
    733,884/1,122,706 = 1,122,706/x
  3. Step 3: Cross multiply
    733,884x = 1,122,706 × 1,122,706
  4. Step 4: Simplify right side
    733,884x = 1,260,468,762,436
  5. Step 5: Solve for x
    x = 1,260,468,762,436/733,884
  6. Step 6: Final answer
    x = 1,717,531.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.