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Finding the Third Proportional to 1,925,025 and 2,691,450

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Solution

The third proportional to 1,925,025 and 2,691,450 is: 3,763,017.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925,025 : 2,691,450 = 2,691,450 : x
  2. Step 2: Convert to fraction form
    1,925,025/2,691,450 = 2,691,450/x
  3. Step 3: Cross multiply
    1,925,025x = 2,691,450 × 2,691,450
  4. Step 4: Simplify right side
    1,925,025x = 7,243,903,102,500
  5. Step 5: Solve for x
    x = 7,243,903,102,500/1,925,025
  6. Step 6: Final answer
    x = 3,763,017.68

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.