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Finding the Third Proportional to 2,467,114 and 3,812,730

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Solution

The third proportional to 2,467,114 and 3,812,730 is: 5,892,273.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467,114 : 3,812,730 = 3,812,730 : x
  2. Step 2: Convert to fraction form
    2,467,114/3,812,730 = 3,812,730/x
  3. Step 3: Cross multiply
    2,467,114x = 3,812,730 × 3,812,730
  4. Step 4: Simplify right side
    2,467,114x = 14,536,910,052,900
  5. Step 5: Solve for x
    x = 14,536,910,052,900/2,467,114
  6. Step 6: Final answer
    x = 5,892,273.34

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.