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Finding the Third Proportional to 645,840 and 1,414,800

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Solution

The third proportional to 645,840 and 1,414,800 is: 3,099,311.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,840 : 1,414,800 = 1,414,800 : x
  2. Step 2: Convert to fraction form
    645,840/1,414,800 = 1,414,800/x
  3. Step 3: Cross multiply
    645,840x = 1,414,800 × 1,414,800
  4. Step 4: Simplify right side
    645,840x = 2,001,659,040,000
  5. Step 5: Solve for x
    x = 2,001,659,040,000/645,840
  6. Step 6: Final answer
    x = 3,099,311.04

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.