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Finding the Third Proportional to 641,980.69 and 1,518,213.38

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Solution

The third proportional to 641,980.69 and 1,518,213.38 is: 3,590,406.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,980.69 : 1,518,213.38 = 1,518,213.38 : x
  2. Step 2: Convert to fraction form
    641,980.69/1,518,213.38 = 1,518,213.38/x
  3. Step 3: Cross multiply
    641,980.69x = 1,518,213.38 × 1,518,213.38
  4. Step 4: Simplify right side
    641,980.69x = 2,304,971,852,028.89
  5. Step 5: Solve for x
    x = 2,304,971,852,028.89/641,980.69
  6. Step 6: Final answer
    x = 3,590,406.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.