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Finding the Third Proportional to 2,881,924 and 4,520,676

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Solution

The third proportional to 2,881,924 and 4,520,676 is: 7,091,273.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881,924 : 4,520,676 = 4,520,676 : x
  2. Step 2: Convert to fraction form
    2,881,924/4,520,676 = 4,520,676/x
  3. Step 3: Cross multiply
    2,881,924x = 4,520,676 × 4,520,676
  4. Step 4: Simplify right side
    2,881,924x = 20,436,511,496,976
  5. Step 5: Solve for x
    x = 20,436,511,496,976/2,881,924
  6. Step 6: Final answer
    x = 7,091,273.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.