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Finding the Third Proportional to 813,828 and 1,767,760

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Solution

The third proportional to 813,828 and 1,767,760 is: 3,839,847.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,828 : 1,767,760 = 1,767,760 : x
  2. Step 2: Convert to fraction form
    813,828/1,767,760 = 1,767,760/x
  3. Step 3: Cross multiply
    813,828x = 1,767,760 × 1,767,760
  4. Step 4: Simplify right side
    813,828x = 3,124,975,417,600
  5. Step 5: Solve for x
    x = 3,124,975,417,600/813,828
  6. Step 6: Final answer
    x = 3,839,847.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.