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Finding the Third Proportional to 1,728,947 and 2,777,957

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Solution

The third proportional to 1,728,947 and 2,777,957 is: 4,463,436.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728,947 : 2,777,957 = 2,777,957 : x
  2. Step 2: Convert to fraction form
    1,728,947/2,777,957 = 2,777,957/x
  3. Step 3: Cross multiply
    1,728,947x = 2,777,957 × 2,777,957
  4. Step 4: Simplify right side
    1,728,947x = 7,717,045,093,849
  5. Step 5: Solve for x
    x = 7,717,045,093,849/1,728,947
  6. Step 6: Final answer
    x = 4,463,436.47

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.