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Finding the Third Proportional to 713,124 and 1,517,832

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Solution

The third proportional to 713,124 and 1,517,832 is: 3,230,593.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,124 : 1,517,832 = 1,517,832 : x
  2. Step 2: Convert to fraction form
    713,124/1,517,832 = 1,517,832/x
  3. Step 3: Cross multiply
    713,124x = 1,517,832 × 1,517,832
  4. Step 4: Simplify right side
    713,124x = 2,303,813,980,224
  5. Step 5: Solve for x
    x = 2,303,813,980,224/713,124
  6. Step 6: Final answer
    x = 3,230,593.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.