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Finding the Third Proportional to 635,920 and 1,363,977

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Solution

The third proportional to 635,920 and 1,363,977 is: 2,925,577.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,920 : 1,363,977 = 1,363,977 : x
  2. Step 2: Convert to fraction form
    635,920/1,363,977 = 1,363,977/x
  3. Step 3: Cross multiply
    635,920x = 1,363,977 × 1,363,977
  4. Step 4: Simplify right side
    635,920x = 1,860,433,256,529
  5. Step 5: Solve for x
    x = 1,860,433,256,529/635,920
  6. Step 6: Final answer
    x = 2,925,577.52

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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.