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Finding the Third Proportional to 923,072 and 1,396,925

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Solution

The third proportional to 923,072 and 1,396,925 is: 2,114,027.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,072 : 1,396,925 = 1,396,925 : x
  2. Step 2: Convert to fraction form
    923,072/1,396,925 = 1,396,925/x
  3. Step 3: Cross multiply
    923,072x = 1,396,925 × 1,396,925
  4. Step 4: Simplify right side
    923,072x = 1,951,399,455,625
  5. Step 5: Solve for x
    x = 1,951,399,455,625/923,072
  6. Step 6: Final answer
    x = 2,114,027.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.