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Finding the Third Proportional to 946,489 and 2,052,674

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Solution

The third proportional to 946,489 and 2,052,674 is: 4,451,684.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,489 : 2,052,674 = 2,052,674 : x
  2. Step 2: Convert to fraction form
    946,489/2,052,674 = 2,052,674/x
  3. Step 3: Cross multiply
    946,489x = 2,052,674 × 2,052,674
  4. Step 4: Simplify right side
    946,489x = 4,213,470,550,276
  5. Step 5: Solve for x
    x = 4,213,470,550,276/946,489
  6. Step 6: Final answer
    x = 4,451,684.65

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Why These Related Problems?

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