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Finding the Third Proportional to 3,859,765 and 5,677,378

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Solution

The third proportional to 3,859,765 and 5,677,378 is: 8,350,928.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859,765 : 5,677,378 = 5,677,378 : x
  2. Step 2: Convert to fraction form
    3,859,765/5,677,378 = 5,677,378/x
  3. Step 3: Cross multiply
    3,859,765x = 5,677,378 × 5,677,378
  4. Step 4: Simplify right side
    3,859,765x = 32,232,620,954,884
  5. Step 5: Solve for x
    x = 32,232,620,954,884/3,859,765
  6. Step 6: Final answer
    x = 8,350,928.35

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.