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Finding the Third Proportional to 945,400 and 2,023,692

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Solution

The third proportional to 945,400 and 2,023,692 is: 4,331,848.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,400 : 2,023,692 = 2,023,692 : x
  2. Step 2: Convert to fraction form
    945,400/2,023,692 = 2,023,692/x
  3. Step 3: Cross multiply
    945,400x = 2,023,692 × 2,023,692
  4. Step 4: Simplify right side
    945,400x = 4,095,329,310,864
  5. Step 5: Solve for x
    x = 4,095,329,310,864/945,400
  6. Step 6: Final answer
    x = 4,331,848.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.