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Finding the Third Proportional to 2,139,198 and 3,209,259

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Solution

The third proportional to 2,139,198 and 3,209,259 is: 4,814,581.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139,198 : 3,209,259 = 3,209,259 : x
  2. Step 2: Convert to fraction form
    2,139,198/3,209,259 = 3,209,259/x
  3. Step 3: Cross multiply
    2,139,198x = 3,209,259 × 3,209,259
  4. Step 4: Simplify right side
    2,139,198x = 10,299,343,329,081
  5. Step 5: Solve for x
    x = 10,299,343,329,081/2,139,198
  6. Step 6: Final answer
    x = 4,814,581.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.