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Finding the Third Proportional to 851,472 and 1,183,896

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Solution

The third proportional to 851,472 and 1,183,896 is: 1,646,101.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,472 : 1,183,896 = 1,183,896 : x
  2. Step 2: Convert to fraction form
    851,472/1,183,896 = 1,183,896/x
  3. Step 3: Cross multiply
    851,472x = 1,183,896 × 1,183,896
  4. Step 4: Simplify right side
    851,472x = 1,401,609,738,816
  5. Step 5: Solve for x
    x = 1,401,609,738,816/851,472
  6. Step 6: Final answer
    x = 1,646,101.97

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.