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Finding the Third Proportional to 813,832 and 1,767,772

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Solution

The third proportional to 813,832 and 1,767,772 is: 3,839,880.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,832 : 1,767,772 = 1,767,772 : x
  2. Step 2: Convert to fraction form
    813,832/1,767,772 = 1,767,772/x
  3. Step 3: Cross multiply
    813,832x = 1,767,772 × 1,767,772
  4. Step 4: Simplify right side
    813,832x = 3,125,017,843,984
  5. Step 5: Solve for x
    x = 3,125,017,843,984/813,832
  6. Step 6: Final answer
    x = 3,839,880.77

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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.