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Finding the Third Proportional to 1,517,175 and 3,227,436

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Solution

The third proportional to 1,517,175 and 3,227,436 is: 6,865,617.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517,175 : 3,227,436 = 3,227,436 : x
  2. Step 2: Convert to fraction form
    1,517,175/3,227,436 = 3,227,436/x
  3. Step 3: Cross multiply
    1,517,175x = 3,227,436 × 3,227,436
  4. Step 4: Simplify right side
    1,517,175x = 10,416,343,134,096
  5. Step 5: Solve for x
    x = 10,416,343,134,096/1,517,175
  6. Step 6: Final answer
    x = 6,865,617.44

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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.