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Finding the Third Proportional to 945,992 and 2,014,672

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Solution

The third proportional to 945,992 and 2,014,672 is: 4,290,631.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,992 : 2,014,672 = 2,014,672 : x
  2. Step 2: Convert to fraction form
    945,992/2,014,672 = 2,014,672/x
  3. Step 3: Cross multiply
    945,992x = 2,014,672 × 2,014,672
  4. Step 4: Simplify right side
    945,992x = 4,058,903,267,584
  5. Step 5: Solve for x
    x = 4,058,903,267,584/945,992
  6. Step 6: Final answer
    x = 4,290,631.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.