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Finding the Third Proportional to 813,568 and 1,694,472

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Solution

The third proportional to 813,568 and 1,694,472 is: 3,529,189.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,568 : 1,694,472 = 1,694,472 : x
  2. Step 2: Convert to fraction form
    813,568/1,694,472 = 1,694,472/x
  3. Step 3: Cross multiply
    813,568x = 1,694,472 × 1,694,472
  4. Step 4: Simplify right side
    813,568x = 2,871,235,358,784
  5. Step 5: Solve for x
    x = 2,871,235,358,784/813,568
  6. Step 6: Final answer
    x = 3,529,189.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.