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Finding the Third Proportional to 922,815 and 1,976,847

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Solution

The third proportional to 922,815 and 1,976,847 is: 4,234,786.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,815 : 1,976,847 = 1,976,847 : x
  2. Step 2: Convert to fraction form
    922,815/1,976,847 = 1,976,847/x
  3. Step 3: Cross multiply
    922,815x = 1,976,847 × 1,976,847
  4. Step 4: Simplify right side
    922,815x = 3,907,924,061,409
  5. Step 5: Solve for x
    x = 3,907,924,061,409/922,815
  6. Step 6: Final answer
    x = 4,234,786.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.