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Finding the Third Proportional to 681,357 and 1,433,337

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Solution

The third proportional to 681,357 and 1,433,337 is: 3,015,240.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,357 : 1,433,337 = 1,433,337 : x
  2. Step 2: Convert to fraction form
    681,357/1,433,337 = 1,433,337/x
  3. Step 3: Cross multiply
    681,357x = 1,433,337 × 1,433,337
  4. Step 4: Simplify right side
    681,357x = 2,054,454,955,569
  5. Step 5: Solve for x
    x = 2,054,454,955,569/681,357
  6. Step 6: Final answer
    x = 3,015,240.11

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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.