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Finding the Third Proportional to 436,179 and 960,162

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Solution

The third proportional to 436,179 and 960,162 is: 2,113,607.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,179 : 960,162 = 960,162 : x
  2. Step 2: Convert to fraction form
    436,179/960,162 = 960,162/x
  3. Step 3: Cross multiply
    436,179x = 960,162 × 960,162
  4. Step 4: Simplify right side
    436,179x = 921,911,066,244
  5. Step 5: Solve for x
    x = 921,911,066,244/436,179
  6. Step 6: Final answer
    x = 2,113,607.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.