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Finding the Third Proportional to 1,614,402 and 3,396,105

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Solution

The third proportional to 1,614,402 and 3,396,105 is: 7,144,149.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614,402 : 3,396,105 = 3,396,105 : x
  2. Step 2: Convert to fraction form
    1,614,402/3,396,105 = 3,396,105/x
  3. Step 3: Cross multiply
    1,614,402x = 3,396,105 × 3,396,105
  4. Step 4: Simplify right side
    1,614,402x = 11,533,529,171,025
  5. Step 5: Solve for x
    x = 11,533,529,171,025/1,614,402
  6. Step 6: Final answer
    x = 7,144,149.46

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.