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Finding the Third Proportional to 2,186,032 and 3,056,914

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Solution

The third proportional to 2,186,032 and 3,056,914 is: 4,274,742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186,032 : 3,056,914 = 3,056,914 : x
  2. Step 2: Convert to fraction form
    2,186,032/3,056,914 = 3,056,914/x
  3. Step 3: Cross multiply
    2,186,032x = 3,056,914 × 3,056,914
  4. Step 4: Simplify right side
    2,186,032x = 9,344,723,203,396
  5. Step 5: Solve for x
    x = 9,344,723,203,396/2,186,032
  6. Step 6: Final answer
    x = 4,274,742.18

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.