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Finding the Third Proportional to 938,976 and 1,994,304

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Solution

The third proportional to 938,976 and 1,994,304 is: 4,235,729.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,976 : 1,994,304 = 1,994,304 : x
  2. Step 2: Convert to fraction form
    938,976/1,994,304 = 1,994,304/x
  3. Step 3: Cross multiply
    938,976x = 1,994,304 × 1,994,304
  4. Step 4: Simplify right side
    938,976x = 3,977,248,444,416
  5. Step 5: Solve for x
    x = 3,977,248,444,416/938,976
  6. Step 6: Final answer
    x = 4,235,729.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.