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Finding the Third Proportional to 1,192,997.25 and 1,806,870.38

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Solution

The third proportional to 1,192,997.25 and 1,806,870.38 is: 2,736,620.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192,997.25 : 1,806,870.38 = 1,806,870.38 : x
  2. Step 2: Convert to fraction form
    1,192,997.25/1,806,870.38 = 1,806,870.38/x
  3. Step 3: Cross multiply
    1,192,997.25x = 1,806,870.38 × 1,806,870.38
  4. Step 4: Simplify right side
    1,192,997.25x = 3,264,780,552,052.64
  5. Step 5: Solve for x
    x = 3,264,780,552,052.64/1,192,997.25
  6. Step 6: Final answer
    x = 2,736,620.35

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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.