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Finding the Third Proportional to 515,170 and 1,106,515

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Solution

The third proportional to 515,170 and 1,106,515 is: 2,376,643.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,170 : 1,106,515 = 1,106,515 : x
  2. Step 2: Convert to fraction form
    515,170/1,106,515 = 1,106,515/x
  3. Step 3: Cross multiply
    515,170x = 1,106,515 × 1,106,515
  4. Step 4: Simplify right side
    515,170x = 1,224,375,445,225
  5. Step 5: Solve for x
    x = 1,224,375,445,225/515,170
  6. Step 6: Final answer
    x = 2,376,643.53

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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.