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Finding the Third Proportional to 641,052 and 1,367,912

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Solution

The third proportional to 641,052 and 1,367,912 is: 2,918,925.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,052 : 1,367,912 = 1,367,912 : x
  2. Step 2: Convert to fraction form
    641,052/1,367,912 = 1,367,912/x
  3. Step 3: Cross multiply
    641,052x = 1,367,912 × 1,367,912
  4. Step 4: Simplify right side
    641,052x = 1,871,183,239,744
  5. Step 5: Solve for x
    x = 1,871,183,239,744/641,052
  6. Step 6: Final answer
    x = 2,918,925.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.