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Finding the Third Proportional to 946,490 and 2,052,676

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Solution

The third proportional to 946,490 and 2,052,676 is: 4,451,688.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,490 : 2,052,676 = 2,052,676 : x
  2. Step 2: Convert to fraction form
    946,490/2,052,676 = 2,052,676/x
  3. Step 3: Cross multiply
    946,490x = 2,052,676 × 2,052,676
  4. Step 4: Simplify right side
    946,490x = 4,213,478,760,976
  5. Step 5: Solve for x
    x = 4,213,478,760,976/946,490
  6. Step 6: Final answer
    x = 4,451,688.62

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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.