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Finding the Third Proportional to 3,648,742 and 5,723,765

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Solution

The third proportional to 3,648,742 and 5,723,765 is: 8,978,844.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648,742 : 5,723,765 = 5,723,765 : x
  2. Step 2: Convert to fraction form
    3,648,742/5,723,765 = 5,723,765/x
  3. Step 3: Cross multiply
    3,648,742x = 5,723,765 × 5,723,765
  4. Step 4: Simplify right side
    3,648,742x = 32,761,485,775,225
  5. Step 5: Solve for x
    x = 32,761,485,775,225/3,648,742
  6. Step 6: Final answer
    x = 8,978,844.15

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.