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Finding the Third Proportional to 681,378 and 1,433,364

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Solution

The third proportional to 681,378 and 1,433,364 is: 3,015,260.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,378 : 1,433,364 = 1,433,364 : x
  2. Step 2: Convert to fraction form
    681,378/1,433,364 = 1,433,364/x
  3. Step 3: Cross multiply
    681,378x = 1,433,364 × 1,433,364
  4. Step 4: Simplify right side
    681,378x = 2,054,532,356,496
  5. Step 5: Solve for x
    x = 2,054,532,356,496/681,378
  6. Step 6: Final answer
    x = 3,015,260.78

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.