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Finding the Third Proportional to 774,600 and 1,677,876

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Solution

The third proportional to 774,600 and 1,677,876 is: 3,634,479.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,600 : 1,677,876 = 1,677,876 : x
  2. Step 2: Convert to fraction form
    774,600/1,677,876 = 1,677,876/x
  3. Step 3: Cross multiply
    774,600x = 1,677,876 × 1,677,876
  4. Step 4: Simplify right side
    774,600x = 2,815,267,871,376
  5. Step 5: Solve for x
    x = 2,815,267,871,376/774,600
  6. Step 6: Final answer
    x = 3,634,479.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.