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Finding the Third Proportional to 2,486,378 and 3,839,403

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Solution

The third proportional to 2,486,378 and 3,839,403 is: 5,928,710.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486,378 : 3,839,403 = 3,839,403 : x
  2. Step 2: Convert to fraction form
    2,486,378/3,839,403 = 3,839,403/x
  3. Step 3: Cross multiply
    2,486,378x = 3,839,403 × 3,839,403
  4. Step 4: Simplify right side
    2,486,378x = 14,741,015,396,409
  5. Step 5: Solve for x
    x = 14,741,015,396,409/2,486,378
  6. Step 6: Final answer
    x = 5,928,710.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.