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Finding the Third Proportional to 609,072 and 969,928

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Solution

The third proportional to 609,072 and 969,928 is: 1,544,579.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,072 : 969,928 = 969,928 : x
  2. Step 2: Convert to fraction form
    609,072/969,928 = 969,928/x
  3. Step 3: Cross multiply
    609,072x = 969,928 × 969,928
  4. Step 4: Simplify right side
    609,072x = 940,760,325,184
  5. Step 5: Solve for x
    x = 940,760,325,184/609,072
  6. Step 6: Final answer
    x = 1,544,579.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.