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Finding the Third Proportional to 2,034,938 and 3,239,214

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Solution

The third proportional to 2,034,938 and 3,239,214 is: 5,156,180.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034,938 : 3,239,214 = 3,239,214 : x
  2. Step 2: Convert to fraction form
    2,034,938/3,239,214 = 3,239,214/x
  3. Step 3: Cross multiply
    2,034,938x = 3,239,214 × 3,239,214
  4. Step 4: Simplify right side
    2,034,938x = 10,492,507,337,796
  5. Step 5: Solve for x
    x = 10,492,507,337,796/2,034,938
  6. Step 6: Final answer
    x = 5,156,180.35

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.