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Finding the Third Proportional to 931,378 and 2,037,104

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Solution

The third proportional to 931,378 and 2,037,104 is: 4,455,540.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,378 : 2,037,104 = 2,037,104 : x
  2. Step 2: Convert to fraction form
    931,378/2,037,104 = 2,037,104/x
  3. Step 3: Cross multiply
    931,378x = 2,037,104 × 2,037,104
  4. Step 4: Simplify right side
    931,378x = 4,149,792,706,816
  5. Step 5: Solve for x
    x = 4,149,792,706,816/931,378
  6. Step 6: Final answer
    x = 4,455,540.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.