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Finding the Third Proportional to 813,826 and 1,767,756

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Solution

The third proportional to 813,826 and 1,767,756 is: 3,839,839.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,826 : 1,767,756 = 1,767,756 : x
  2. Step 2: Convert to fraction form
    813,826/1,767,756 = 1,767,756/x
  3. Step 3: Cross multiply
    813,826x = 1,767,756 × 1,767,756
  4. Step 4: Simplify right side
    813,826x = 3,124,961,275,536
  5. Step 5: Solve for x
    x = 3,124,961,275,536/813,826
  6. Step 6: Final answer
    x = 3,839,839.57

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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.