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Finding the Third Proportional to 2,140,299 and 4,457,742

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Solution

The third proportional to 2,140,299 and 4,457,742 is: 9,284,433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140,299 : 4,457,742 = 4,457,742 : x
  2. Step 2: Convert to fraction form
    2,140,299/4,457,742 = 4,457,742/x
  3. Step 3: Cross multiply
    2,140,299x = 4,457,742 × 4,457,742
  4. Step 4: Simplify right side
    2,140,299x = 19,871,463,738,564
  5. Step 5: Solve for x
    x = 19,871,463,738,564/2,140,299
  6. Step 6: Final answer
    x = 9,284,433.50

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.