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Finding the Third Proportional to 1,649,072 and 2,522,650

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Solution

The third proportional to 1,649,072 and 2,522,650 is: 3,858,996.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649,072 : 2,522,650 = 2,522,650 : x
  2. Step 2: Convert to fraction form
    1,649,072/2,522,650 = 2,522,650/x
  3. Step 3: Cross multiply
    1,649,072x = 2,522,650 × 2,522,650
  4. Step 4: Simplify right side
    1,649,072x = 6,363,763,022,500
  5. Step 5: Solve for x
    x = 6,363,763,022,500/1,649,072
  6. Step 6: Final answer
    x = 3,858,996.47

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.