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Finding the Third Proportional to 945,114 and 2,047,692

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Solution

The third proportional to 945,114 and 2,047,692 is: 4,436,546.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,114 : 2,047,692 = 2,047,692 : x
  2. Step 2: Convert to fraction form
    945,114/2,047,692 = 2,047,692/x
  3. Step 3: Cross multiply
    945,114x = 2,047,692 × 2,047,692
  4. Step 4: Simplify right side
    945,114x = 4,193,042,526,864
  5. Step 5: Solve for x
    x = 4,193,042,526,864/945,114
  6. Step 6: Final answer
    x = 4,436,546.84

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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.