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Finding the Third Proportional to 1,517,768 and 3,232,171

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Solution

The third proportional to 1,517,768 and 3,232,171 is: 6,883,087.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517,768 : 3,232,171 = 3,232,171 : x
  2. Step 2: Convert to fraction form
    1,517,768/3,232,171 = 3,232,171/x
  3. Step 3: Cross multiply
    1,517,768x = 3,232,171 × 3,232,171
  4. Step 4: Simplify right side
    1,517,768x = 10,446,929,373,241
  5. Step 5: Solve for x
    x = 10,446,929,373,241/1,517,768
  6. Step 6: Final answer
    x = 6,883,087.12

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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.