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Finding the Third Proportional to 641,840 and 1,392,544

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Solution

The third proportional to 641,840 and 1,392,544 is: 3,021,280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,840 : 1,392,544 = 1,392,544 : x
  2. Step 2: Convert to fraction form
    641,840/1,392,544 = 1,392,544/x
  3. Step 3: Cross multiply
    641,840x = 1,392,544 × 1,392,544
  4. Step 4: Simplify right side
    641,840x = 1,939,178,791,936
  5. Step 5: Solve for x
    x = 1,939,178,791,936/641,840
  6. Step 6: Final answer
    x = 3,021,280.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.