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Finding the Third Proportional to 757,929 and 1,620,876

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Solution

The third proportional to 757,929 and 1,620,876 is: 3,466,339.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,929 : 1,620,876 = 1,620,876 : x
  2. Step 2: Convert to fraction form
    757,929/1,620,876 = 1,620,876/x
  3. Step 3: Cross multiply
    757,929x = 1,620,876 × 1,620,876
  4. Step 4: Simplify right side
    757,929x = 2,627,239,007,376
  5. Step 5: Solve for x
    x = 2,627,239,007,376/757,929
  6. Step 6: Final answer
    x = 3,466,339.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.