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Finding the Third Proportional to 641,040 and 1,367,868

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Solution

The third proportional to 641,040 and 1,367,868 is: 2,918,792.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,040 : 1,367,868 = 1,367,868 : x
  2. Step 2: Convert to fraction form
    641,040/1,367,868 = 1,367,868/x
  3. Step 3: Cross multiply
    641,040x = 1,367,868 × 1,367,868
  4. Step 4: Simplify right side
    641,040x = 1,871,062,865,424
  5. Step 5: Solve for x
    x = 1,871,062,865,424/641,040
  6. Step 6: Final answer
    x = 2,918,792.69

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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.