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Finding the Third Proportional to 736,884 and 1,137,876

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Solution

The third proportional to 736,884 and 1,137,876 is: 1,757,076.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,884 : 1,137,876 = 1,137,876 : x
  2. Step 2: Convert to fraction form
    736,884/1,137,876 = 1,137,876/x
  3. Step 3: Cross multiply
    736,884x = 1,137,876 × 1,137,876
  4. Step 4: Simplify right side
    736,884x = 1,294,761,791,376
  5. Step 5: Solve for x
    x = 1,294,761,791,376/736,884
  6. Step 6: Final answer
    x = 1,757,076.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.