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Finding the Third Proportional to 820,713 and 1,260,716

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Solution

The third proportional to 820,713 and 1,260,716 is: 1,936,614.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,713 : 1,260,716 = 1,260,716 : x
  2. Step 2: Convert to fraction form
    820,713/1,260,716 = 1,260,716/x
  3. Step 3: Cross multiply
    820,713x = 1,260,716 × 1,260,716
  4. Step 4: Simplify right side
    820,713x = 1,589,404,832,656
  5. Step 5: Solve for x
    x = 1,589,404,832,656/820,713
  6. Step 6: Final answer
    x = 1,936,614.67

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.