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Finding the Third Proportional to 515,172 and 1,106,519

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Solution

The third proportional to 515,172 and 1,106,519 is: 2,376,651.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,172 : 1,106,519 = 1,106,519 : x
  2. Step 2: Convert to fraction form
    515,172/1,106,519 = 1,106,519/x
  3. Step 3: Cross multiply
    515,172x = 1,106,519 × 1,106,519
  4. Step 4: Simplify right side
    515,172x = 1,224,384,297,361
  5. Step 5: Solve for x
    x = 1,224,384,297,361/515,172
  6. Step 6: Final answer
    x = 2,376,651.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.