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Finding the Third Proportional to 2,812,497 and 3,982,278

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Solution

The third proportional to 2,812,497 and 3,982,278 is: 5,638,597.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812,497 : 3,982,278 = 3,982,278 : x
  2. Step 2: Convert to fraction form
    2,812,497/3,982,278 = 3,982,278/x
  3. Step 3: Cross multiply
    2,812,497x = 3,982,278 × 3,982,278
  4. Step 4: Simplify right side
    2,812,497x = 15,858,538,069,284
  5. Step 5: Solve for x
    x = 15,858,538,069,284/2,812,497
  6. Step 6: Final answer
    x = 5,638,597.33

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.