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Finding the Third Proportional to 757,927 and 1,620,872

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Solution

The third proportional to 757,927 and 1,620,872 is: 3,466,331.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,927 : 1,620,872 = 1,620,872 : x
  2. Step 2: Convert to fraction form
    757,927/1,620,872 = 1,620,872/x
  3. Step 3: Cross multiply
    757,927x = 1,620,872 × 1,620,872
  4. Step 4: Simplify right side
    757,927x = 2,627,226,040,384
  5. Step 5: Solve for x
    x = 2,627,226,040,384/757,927
  6. Step 6: Final answer
    x = 3,466,331.24

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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.