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Finding the Third Proportional to 651,354.75 and 1,414,116

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Solution

The third proportional to 651,354.75 and 1,414,116 is: 3,070,099.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,354.75 : 1,414,116 = 1,414,116 : x
  2. Step 2: Convert to fraction form
    651,354.75/1,414,116 = 1,414,116/x
  3. Step 3: Cross multiply
    651,354.75x = 1,414,116 × 1,414,116
  4. Step 4: Simplify right side
    651,354.75x = 1,999,724,061,456
  5. Step 5: Solve for x
    x = 1,999,724,061,456/651,354.75
  6. Step 6: Final answer
    x = 3,070,099.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.