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Finding the Third Proportional to 1,517,770 and 3,232,175

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Solution

The third proportional to 1,517,770 and 3,232,175 is: 6,883,095.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517,770 : 3,232,175 = 3,232,175 : x
  2. Step 2: Convert to fraction form
    1,517,770/3,232,175 = 3,232,175/x
  3. Step 3: Cross multiply
    1,517,770x = 3,232,175 × 3,232,175
  4. Step 4: Simplify right side
    1,517,770x = 10,446,955,230,625
  5. Step 5: Solve for x
    x = 10,446,955,230,625/1,517,770
  6. Step 6: Final answer
    x = 6,883,095.09

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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.