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Finding the Third Proportional to 779,640 and 1,679,593

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Solution

The third proportional to 779,640 and 1,679,593 is: 3,618,378.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,640 : 1,679,593 = 1,679,593 : x
  2. Step 2: Convert to fraction form
    779,640/1,679,593 = 1,679,593/x
  3. Step 3: Cross multiply
    779,640x = 1,679,593 × 1,679,593
  4. Step 4: Simplify right side
    779,640x = 2,821,032,645,649
  5. Step 5: Solve for x
    x = 2,821,032,645,649/779,640
  6. Step 6: Final answer
    x = 3,618,378.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.